Update Sat 26 Aug 2023 04:14:32 PM EDT

Changes

20 changed files (+60/-49)

• MIL/C02_Basics/S05_Proving_Facts_about_Algebraic_Structures.lean
  • @@ -84,10 +84,10 @@ variable (a b c : R)
    #check (mul_nonneg : 0 ≤ a → 0 ≤ b → 0 ≤ a * b) - example : a ≤ b → 0 ≤ b - a := by + example (h : a ≤ b) : 0 ≤ b - a := by sorry - example : 0 ≤ b - a → a ≤ b := by + example (h: 0 ≤ b - a) : a ≤ b := by sorry example (h : a ≤ b) (h' : 0 ≤ c) : a * c ≤ b * c := by
• MIL/C02_Basics/solutions/Solutions_S05_Proving_Facts_about_Algebraic_Structures.lean
  • @@ -105,13 +105,11 @@ section
    variable {R : Type*} [StrictOrderedRing R] variable (a b c : R) - theorem aux1 : a ≤ b → 0 ≤ b - a := by - intro h + theorem aux1 (h : a ≤ b) : 0 ≤ b - a := by rw [← sub_self a, sub_eq_add_neg, sub_eq_add_neg, add_comm, add_comm b] apply add_le_add_left h - theorem aux2 : 0 ≤ b - a → a ≤ b := by - intro h + theorem aux2 (h : 0 ≤ b - a) : a ≤ b := by rw [← add_zero a, ← sub_add_cancel b a, add_comm (b - a)] apply add_le_add_left h
• MIL/C03_Logic/S01_Implication_and_the_Universal_Quantifier.lean
  • @@ -69,7 +69,7 @@ example (hfa : FnLb f a) (hgb : FnLb g b) : FnLb (fun x ↦ f x + g x) (a + b) :
    example (nnf : FnLb f 0) (nng : FnLb g 0) : FnLb (fun x ↦ f x * g x) 0 := sorry - example (hfa : FnUb f a) (hfb : FnUb g b) (nng : FnLb g 0) (nna : 0 ≤ a) : + example (hfa : FnUb f a) (hgb : FnUb g b) (nng : FnLb g 0) (nna : 0 ≤ a) : FnUb (fun x ↦ f x * g x) (a * b) := sorry
• MIL/C03_Logic/solutions/Solutions_S01_Implication_and_the_Universal_Quantifier.lean
  • @@ -33,12 +33,12 @@ example (nnf : FnLb f 0) (nng : FnLb g 0) : FnLb (fun x ↦ f x * g x) 0 := by
    apply nnf apply nng - example (hfa : FnUb f a) (hfb : FnUb g b) (nng : FnLb g 0) (nna : 0 ≤ a) : + example (hfa : FnUb f a) (hgb : FnUb g b) (nng : FnLb g 0) (nna : 0 ≤ a) : FnUb (fun x ↦ f x * g x) (a * b) := by intro x apply mul_le_mul apply hfa - apply hfb + apply hgb apply nng apply nna
• MIL/C04_Sets_and_Functions/S02_Functions.lean
  • @@ -69,7 +69,7 @@ example : f ⁻¹' u \ f ⁻¹' v ⊆ f ⁻¹' (u \ v) := by
    example : f '' s ∩ v = f '' (s ∩ f ⁻¹' v) := by sorry - example : f '' (s ∩ f ⁻¹' u) ⊆ f '' s ∪ u := by + example : f '' (s ∩ f ⁻¹' u) ⊆ f '' s ∩ u := by sorry example : s ∩ f ⁻¹' u ⊆ f ⁻¹' (f '' s ∩ u) := by
  • @@ -176,7 +176,7 @@ def inverse (f : α → β) : β → α := fun y : β ↦
    if h : ∃ x, f x = y then Classical.choose h else default theorem inverse_spec {f : α → β} (y : β) (h : ∃ x, f x = y) : f (inverse f y) = y := by - rw [inverse]; dsimp; rw [dif_pos h] + rw [inverse, dif_pos h] exact Classical.choose_spec h variable (f : α → β)
• MIL/C04_Sets_and_Functions/solutions/Solutions_S02_Functions.lean
  • @@ -199,7 +199,7 @@ def inverse (f : α → β) : β → α := fun y : β ↦
    if h : ∃ x, f x = y then Classical.choose h else default theorem inverse_spec {f : α → β} (y : β) (h : ∃ x, f x = y) : f (inverse f y) = y := by - rw [inverse]; dsimp; rw [dif_pos h] + rw [inverse, dif_pos h] exact Classical.choose_spec h variable (f : α → β)
• MIL/C05_Elementary_Number_Theory/S03_Infinitely_Many_Primes.lean
  • @@ -29,7 +29,6 @@ theorem exists_prime_factor {n : Nat} (h : 2 ≤ n) : ∃ p : Nat, p.Prime ∧ p
    by_cases np : n.Prime · use n, np induction' n using Nat.strong_induction_on with n ih - dsimp at ih rw [Nat.prime_def_lt] at np push_neg at np rcases np h with ⟨m, mltn, mdvdn, mne1⟩
  • @@ -180,7 +179,6 @@ theorem exists_prime_factor_mod_4_eq_3 {n : Nat} (h : n % 4 = 3) :
    by_cases np : n.Prime · use n induction' n using Nat.strong_induction_on with n ih - dsimp at ih rw [Nat.prime_def_lt] at np push_neg at np rcases np (two_le_of_mod_4_eq_3 h) with ⟨m, mltn, mdvdn, mne1⟩
• MIL/C05_Elementary_Number_Theory/solutions/Solutions_S03_Infinitely_Many_Primes.lean
  • @@ -17,7 +17,6 @@ theorem exists_prime_factor {n : Nat} (h : 2 ≤ n) : ∃ p : Nat, p.Prime ∧ p
    by_cases np : n.Prime · use n, np induction' n using Nat.strong_induction_on with n ih - dsimp at ih rw [Nat.prime_def_lt] at np push_neg at np rcases np h with ⟨m, mltn, mdvdn, mne1⟩
  • @@ -169,7 +168,6 @@ theorem exists_prime_factor_mod_4_eq_3 {n : Nat} (h : n % 4 = 3) :
    by_cases np : n.Prime · use n induction' n using Nat.strong_induction_on with n ih - dsimp at ih rw [Nat.prime_def_lt] at np push_neg at np rcases np (two_le_of_mod_4_eq_3 h) with ⟨m, mltn, mdvdn, mne1⟩
• MIL/C07_Hierarchies/solutions/Solutions_S03_Subobjects.lean
  • @@ -67,7 +67,7 @@ instance [Group G] (H : Subgroup₁ G) : Group H :=
    inv := fun x ↦ ⟨x⁻¹, H.inv_mem x.property⟩ mul_left_inv := fun x ↦ SetCoe.ext (mul_left_inv (x : G)) } - class SubgroupClass₁ (S : Type*) (G : Type) [Group G] [SetLike S G] + class SubgroupClass₁ (S : Type) (G : Type) [Group G] [SetLike S G] extends SubmonoidClass₁ S G : Prop where inv_mem : ∀ (s : S) {a : G}, a ∈ s → a⁻¹ ∈ s
• html/C01_Introduction.html
  • @@ -338,12 +338,12 @@ infrastructure for running this tutorial in VS Code,
    and to Scott Morrison and Mario Carneiro for help porting it from Lean 4. We are also grateful for help and corrections from Julian Berman, Alex Best, - Bulwi Cha, Bryan Gin-ge Chen, Mauricio Collaris, Johan Commelin, + Bulwi Cha, Bryan Gin-ge Chen, Mauricio Collaris, Johan Commelin, Mark Czubin, Denis Gorbachev, Winston de Greef, Mathieu Guay-Paquet, Julian K&#252;lshammer, Martin C. Martin, Giovanni Mascellani, Isaiah Mindich, Hunter Monroe, Pietro Monticone, Oliver Nash, - Bartosz Piotrowski, Guilherme Silva, Floris van Doorn, and Eric Wieser. + Bartosz Piotrowski, Nicolas Rolland, Guilherme Silva, Floris van Doorn, and Eric Wieser. Our work has been partially supported by the Hoskinson Center for Formal Mathematics.</p> </section>
• html/C02_Basics.html
  • @@ -1356,10 +1356,10 @@ numbers hold generically for any ordered ring.
    Here are a couple of examples you can try, using only properties of rings, partial orders, and the facts enumerated in the last two examples:</p> - <div class="highlight-lean notranslate"><div class="highlight"><pre><span></span><span class="kd">example</span> <span class="o">:</span> <span class="n">a</span> <span class="bp">&#8804;</span> <span class="n">b</span> <span class="bp">&#8594;</span> <span class="mi">0</span> <span class="bp">&#8804;</span> <span class="n">b</span> <span class="bp">-</span> <span class="n">a</span> <span class="o">:=</span> <span class="kd">by</span> + <div class="highlight-lean notranslate"><div class="highlight"><pre><span></span><span class="kd">example</span> <span class="o">(</span><span class="n">h</span> <span class="o">:</span> <span class="n">a</span> <span class="bp">&#8804;</span> <span class="n">b</span><span class="o">)</span> <span class="o">:</span> <span class="mi">0</span> <span class="bp">&#8804;</span> <span class="n">b</span> <span class="bp">-</span> <span class="n">a</span> <span class="o">:=</span> <span class="kd">by</span> <span class="gr">sorry</span> - <span class="kd">example</span> <span class="o">:</span> <span class="mi">0</span> <span class="bp">&#8804;</span> <span class="n">b</span> <span class="bp">-</span> <span class="n">a</span> <span class="bp">&#8594;</span> <span class="n">a</span> <span class="bp">&#8804;</span> <span class="n">b</span> <span class="o">:=</span> <span class="kd">by</span> + <span class="kd">example</span> <span class="o">(</span><span class="n">h</span><span class="o">:</span> <span class="mi">0</span> <span class="bp">&#8804;</span> <span class="n">b</span> <span class="bp">-</span> <span class="n">a</span><span class="o">)</span> <span class="o">:</span> <span class="n">a</span> <span class="bp">&#8804;</span> <span class="n">b</span> <span class="o">:=</span> <span class="kd">by</span> <span class="gr">sorry</span> <span class="kd">example</span> <span class="o">(</span><span class="n">h</span> <span class="o">:</span> <span class="n">a</span> <span class="bp">&#8804;</span> <span class="n">b</span><span class="o">)</span> <span class="o">(</span><span class="n">h&#39;</span> <span class="o">:</span> <span class="mi">0</span> <span class="bp">&#8804;</span> <span class="n">c</span><span class="o">)</span> <span class="o">:</span> <span class="n">a</span> <span class="bp">*</span> <span class="n">c</span> <span class="bp">&#8804;</span> <span class="n">b</span> <span class="bp">*</span> <span class="n">c</span> <span class="o">:=</span> <span class="kd">by</span>
• html/C03_Logic.html
  • @@ -263,7 +263,7 @@ Try carrying out similar proofs of these:</p>
    <span class="kd">example</span> <span class="o">(</span><span class="n">nnf</span> <span class="o">:</span> <span class="n">FnLb</span> <span class="n">f</span> <span class="mi">0</span><span class="o">)</span> <span class="o">(</span><span class="n">nng</span> <span class="o">:</span> <span class="n">FnLb</span> <span class="n">g</span> <span class="mi">0</span><span class="o">)</span> <span class="o">:</span> <span class="n">FnLb</span> <span class="o">(</span><span class="k">fun</span> <span class="n">x</span> <span class="bp">&#8614;</span> <span class="n">f</span> <span class="n">x</span> <span class="bp">*</span> <span class="n">g</span> <span class="n">x</span><span class="o">)</span> <span class="mi">0</span> <span class="o">:=</span> <span class="gr">sorry</span> - <span class="kd">example</span> <span class="o">(</span><span class="n">hfa</span> <span class="o">:</span> <span class="n">FnUb</span> <span class="n">f</span> <span class="n">a</span><span class="o">)</span> <span class="o">(</span><span class="n">hfb</span> <span class="o">:</span> <span class="n">FnUb</span> <span class="n">g</span> <span class="n">b</span><span class="o">)</span> <span class="o">(</span><span class="n">nng</span> <span class="o">:</span> <span class="n">FnLb</span> <span class="n">g</span> <span class="mi">0</span><span class="o">)</span> <span class="o">(</span><span class="n">nna</span> <span class="o">:</span> <span class="mi">0</span> <span class="bp">&#8804;</span> <span class="n">a</span><span class="o">)</span> <span class="o">:</span> + <span class="kd">example</span> <span class="o">(</span><span class="n">hfa</span> <span class="o">:</span> <span class="n">FnUb</span> <span class="n">f</span> <span class="n">a</span><span class="o">)</span> <span class="o">(</span><span class="n">hgb</span> <span class="o">:</span> <span class="n">FnUb</span> <span class="n">g</span> <span class="n">b</span><span class="o">)</span> <span class="o">(</span><span class="n">nng</span> <span class="o">:</span> <span class="n">FnLb</span> <span class="n">g</span> <span class="mi">0</span><span class="o">)</span> <span class="o">(</span><span class="n">nna</span> <span class="o">:</span> <span class="mi">0</span> <span class="bp">&#8804;</span> <span class="n">a</span><span class="o">)</span> <span class="o">:</span> <span class="n">FnUb</span> <span class="o">(</span><span class="k">fun</span> <span class="n">x</span> <span class="bp">&#8614;</span> <span class="n">f</span> <span class="n">x</span> <span class="bp">*</span> <span class="n">g</span> <span class="n">x</span><span class="o">)</span> <span class="o">(</span><span class="n">a</span> <span class="bp">*</span> <span class="n">b</span><span class="o">)</span> <span class="o">:=</span> <span class="gr">sorry</span> </pre></div>
  • @@ -1310,13 +1310,12 @@ then <code class="docutils literal notranslate"><span class="pre">a</span> <span
    <span class="gr">sorry</span> </pre></div> </div> - <p id="index-20">Beyond logical operations, you should not need - anything more than <code class="docutils literal notranslate"><span class="pre">le_refl</span></code> and <code class="docutils literal notranslate"><span class="pre">le_antisymm</span></code>. - Then show that even in the case where <code class="docutils literal notranslate"><span class="pre">&#8804;</span></code> + <p id="index-20">Beyond logical operations, you do not need + anything more than <code class="docutils literal notranslate"><span class="pre">le_refl</span></code> and <code class="docutils literal notranslate"><span class="pre">le_trans</span></code>. + Show that even in the case where <code class="docutils literal notranslate"><span class="pre">&#8804;</span></code> is only assumed to be a preorder, we can prove that the strict order is irreflexive and transitive. - You do not need anything more than <code class="docutils literal notranslate"><span class="pre">le_refl</span></code> and <code class="docutils literal notranslate"><span class="pre">le_trans</span></code>. In the second example, for convenience, we use the simplifier rather than <code class="docutils literal notranslate"><span class="pre">rw</span></code> to express <code class="docutils literal notranslate"><span class="pre">&lt;</span></code> in terms of <code class="docutils literal notranslate"><span class="pre">&#8804;</span></code> and <code class="docutils literal notranslate"><span class="pre">&#172;</span></code>.
• html/C04_Sets_and_Functions.html
  • @@ -667,7 +667,7 @@ and set the rest aside for a rainy day.</p>
    <span class="kd">example</span> <span class="o">:</span> <span class="n">f</span> <span class="bp">&#39;&#39;</span> <span class="n">s</span> <span class="bp">&#8745;</span> <span class="n">v</span> <span class="bp">=</span> <span class="n">f</span> <span class="bp">&#39;&#39;</span> <span class="o">(</span><span class="n">s</span> <span class="bp">&#8745;</span> <span class="n">f</span> <span class="bp">&#8315;&#185;&#39;</span> <span class="n">v</span><span class="o">)</span> <span class="o">:=</span> <span class="kd">by</span> <span class="gr">sorry</span> - <span class="kd">example</span> <span class="o">:</span> <span class="n">f</span> <span class="bp">&#39;&#39;</span> <span class="o">(</span><span class="n">s</span> <span class="bp">&#8745;</span> <span class="n">f</span> <span class="bp">&#8315;&#185;&#39;</span> <span class="n">u</span><span class="o">)</span> <span class="bp">&#8838;</span> <span class="n">f</span> <span class="bp">&#39;&#39;</span> <span class="n">s</span> <span class="bp">&#8746;</span> <span class="n">u</span> <span class="o">:=</span> <span class="kd">by</span> + <span class="kd">example</span> <span class="o">:</span> <span class="n">f</span> <span class="bp">&#39;&#39;</span> <span class="o">(</span><span class="n">s</span> <span class="bp">&#8745;</span> <span class="n">f</span> <span class="bp">&#8315;&#185;&#39;</span> <span class="n">u</span><span class="o">)</span> <span class="bp">&#8838;</span> <span class="n">f</span> <span class="bp">&#39;&#39;</span> <span class="n">s</span> <span class="bp">&#8745;</span> <span class="n">u</span> <span class="o">:=</span> <span class="kd">by</span> <span class="gr">sorry</span> <span class="kd">example</span> <span class="o">:</span> <span class="n">s</span> <span class="bp">&#8745;</span> <span class="n">f</span> <span class="bp">&#8315;&#185;&#39;</span> <span class="n">u</span> <span class="bp">&#8838;</span> <span class="n">f</span> <span class="bp">&#8315;&#185;&#39;</span> <span class="o">(</span><span class="n">f</span> <span class="bp">&#39;&#39;</span> <span class="n">s</span> <span class="bp">&#8745;</span> <span class="n">u</span><span class="o">)</span> <span class="o">:=</span> <span class="kd">by</span>
  • @@ -819,7 +819,7 @@ as follows:</p>
    <span class="k">if</span> <span class="n">h</span> <span class="o">:</span> <span class="bp">&#8707;</span> <span class="n">x</span><span class="o">,</span> <span class="n">f</span> <span class="n">x</span> <span class="bp">=</span> <span class="n">y</span> <span class="k">then</span> <span class="n">Classical.choose</span> <span class="n">h</span> <span class="k">else</span> <span class="n">default</span> <span class="kd">theorem</span> <span class="n">inverse_spec</span> <span class="o">{</span><span class="n">f</span> <span class="o">:</span> <span class="n">&#945;</span> <span class="bp">&#8594;</span> <span class="n">&#946;</span><span class="o">}</span> <span class="o">(</span><span class="n">y</span> <span class="o">:</span> <span class="n">&#946;</span><span class="o">)</span> <span class="o">(</span><span class="n">h</span> <span class="o">:</span> <span class="bp">&#8707;</span> <span class="n">x</span><span class="o">,</span> <span class="n">f</span> <span class="n">x</span> <span class="bp">=</span> <span class="n">y</span><span class="o">)</span> <span class="o">:</span> <span class="n">f</span> <span class="o">(</span><span class="n">inverse</span> <span class="n">f</span> <span class="n">y</span><span class="o">)</span> <span class="bp">=</span> <span class="n">y</span> <span class="o">:=</span> <span class="kd">by</span> - <span class="n">rw</span> <span class="o">[</span><span class="n">inverse</span><span class="o">]</span><span class="bp">;</span> <span class="n">dsimp</span><span class="bp">;</span> <span class="n">rw</span> <span class="o">[</span><span class="n">dif_pos</span> <span class="n">h</span><span class="o">]</span> + <span class="n">rw</span> <span class="o">[</span><span class="n">inverse</span><span class="o">,</span> <span class="n">dif_pos</span> <span class="n">h</span><span class="o">]</span> <span class="n">exact</span> <span class="n">Classical.choose_spec</span> <span class="n">h</span> </pre></div> </div>
• html/C05_Elementary_Number_Theory.html
  • @@ -783,7 +783,6 @@ The proof still works if you delete that line.</p>
    <span class="n">by_cases</span> <span class="n">np</span> <span class="o">:</span> <span class="n">n.Prime</span> <span class="bp">&#183;</span> <span class="n">use</span> <span class="n">n</span><span class="o">,</span> <span class="n">np</span> <span class="n">induction&#39;</span> <span class="n">n</span> <span class="n">using</span> <span class="n">Nat.strong_induction_on</span> <span class="k">with</span> <span class="n">n</span> <span class="n">ih</span> - <span class="n">dsimp</span> <span class="n">at</span> <span class="n">ih</span> <span class="n">rw</span> <span class="o">[</span><span class="n">Nat.prime_def_lt</span><span class="o">]</span> <span class="n">at</span> <span class="n">np</span> <span class="n">push_neg</span> <span class="n">at</span> <span class="n">np</span> <span class="n">rcases</span> <span class="n">np</span> <span class="n">h</span> <span class="k">with</span> <span class="o">&#10216;</span><span class="n">m</span><span class="o">,</span> <span class="n">mltn</span><span class="o">,</span> <span class="n">mdvdn</span><span class="o">,</span> <span class="n">mne1</span><span class="o">&#10217;</span>
  • @@ -1075,7 +1074,6 @@ same property.</p>
    <span class="n">by_cases</span> <span class="n">np</span> <span class="o">:</span> <span class="n">n.Prime</span> <span class="bp">&#183;</span> <span class="n">use</span> <span class="n">n</span> <span class="n">induction&#39;</span> <span class="n">n</span> <span class="n">using</span> <span class="n">Nat.strong_induction_on</span> <span class="k">with</span> <span class="n">n</span> <span class="n">ih</span> - <span class="n">dsimp</span> <span class="n">at</span> <span class="n">ih</span> <span class="n">rw</span> <span class="o">[</span><span class="n">Nat.prime_def_lt</span><span class="o">]</span> <span class="n">at</span> <span class="n">np</span> <span class="n">push_neg</span> <span class="n">at</span> <span class="n">np</span> <span class="n">rcases</span> <span class="n">np</span> <span class="o">(</span><span class="n">two_le_of_mod_4_eq_3</span> <span class="n">h</span><span class="o">)</span> <span class="k">with</span> <span class="o">&#10216;</span><span class="n">m</span><span class="o">,</span> <span class="n">mltn</span><span class="o">,</span> <span class="n">mdvdn</span><span class="o">,</span> <span class="n">mne1</span><span class="o">&#10217;</span>
• html/C06_Structures.html
  • @@ -645,7 +645,7 @@ the following:</p>
    <span class="n">str</span> <span class="o">:</span> <span class="n">Group&#8321;</span> <span class="n">&#945;</span> </pre></div> </div> - <p>The Mathlib version is found in <code class="docutils literal notranslate"><span class="pre">Algebra.Category.Group.Basic</span></code>, + <p>The Mathlib version is found in <code class="docutils literal notranslate"><span class="pre">Mathlib.Algebra.Category.GroupCat.Basic</span></code>, and you can <code class="docutils literal notranslate"><span class="pre">#check</span></code> it if you add this to the imports at the beginning of the examples file.</p> <p>For reasons that will become clearer below, it is more often
• html/searchindex.js
  • @@ -1,1 +1,1 @@
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"prove": 1, "ident": 1, "algebra": [1, 5], "structur": [1, 5], "us": 1, "theorem": [1, 3], "lemma": 1, "more": 1, "exampl": 1, "appli": 1, "rw": 1, "fact": 1, "about": 1, "logic": 2, "implic": 2, "univers": 2, "quantifi": 2, "The": [2, 3], "existenti": 2, "negat": 2, "conjunct": 2, "iff": 2, "disjunct": 2, "sequenc": 2, "converg": [2, 7], "set": [3, 7], "function": [3, 7], "schr\u00f6der": 3, "bernstein": 3, "elementari": [4, 8, 9], "number": 4, "theori": [4, 9], "irrat": 4, "root": 4, "induct": 4, "recurs": 4, "infinit": 4, "mani": 4, "prime": 4, "defin": 5, "build": 5, "gaussian": 5, "integ": 5, "hierarchi": 6, "morphism": 6, "sub": 6, "object": 6, "topolog": 7, "filter": 7, "metric": 7, "space": [7, 8], "continu": [7, 8], "ball": 7, "open": 7, "close": 7, "compact": 7, "uniformli": 7, "complet": 7, "fundament": 7, "separ": 7, "countabl": 7, "differenti": 8, "calculu": 8, "norm": 8, "linear": 8, "map": 8, "asymptot": 8, "comparison": 8, "integr": 9, "measur": 9, "index": 10, "mathemat": 11, "lean": 11}, "envversion": {"sphinx.domains.c": 2, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 6, "sphinx.domains.index": 1, "sphinx.domains.javascript": 2, "sphinx.domains.math": 2, "sphinx.domains.python": 3, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx": 56}})
• lake-manifest.json
  • @@ -1,39 +1,51 @@
    - {"version": 4, + {"version": 5, "packagesDir": "lake-packages", "packages": [{"git": {"url": "https://github.com/EdAyers/ProofWidgets4", "subDir?": null, "rev": "a0c2cd0ac3245a0dade4f925bcfa97e06dd84229", + "opts": {}, "name": "proofwidgets", - "inputRev?": "v0.0.13"}}, + "inputRev?": "v0.0.13", + "inherited": true}}, {"git": {"url": "https://github.com/mhuisi/lean4-cli.git", "subDir?": null, "rev": "5a858c32963b6b19be0d477a30a1f4b6c120be7e", + "opts": {}, "name": "Cli", - "inputRev?": "nightly"}}, + "inputRev?": "nightly", + "inherited": true}}, {"git": {"url": "https://github.com/leanprover-community/mathlib4", "subDir?": null, - "rev": "d567f7cfc07d1a56eabb808ca3be77113520505b", + "rev": "8f78230536025925db73016a9c366eebba2a5700", + "opts": {}, "name": "mathlib", - "inputRev?": "master"}}, + "inputRev?": "master", + "inherited": false}}, {"git": {"url": "https://github.com/gebner/quote4", "subDir?": null, "rev": "81cc13c524a68d0072561dbac276cd61b65872a6", + "opts": {}, "name": "Qq", - "inputRev?": "master"}}, + "inputRev?": "master", + "inherited": true}}, {"git": {"url": "https://github.com/JLimperg/aesop", "subDir?": null, - "rev": "d13a9666e6f430b940ef8d092f1219e964b52a09", + "rev": "086c98bb129ca856381d4414dc0afd6e3e4ae2ef", + "opts": {}, "name": "aesop", - "inputRev?": "master"}}, + "inputRev?": "master", + "inherited": true}}, {"git": {"url": "https://github.com/leanprover/std4", "subDir?": null, - "rev": "dbffa8cb31b0c51b151453c4ff8f00ede2a84ed8", + "rev": "61a6507eff4dd71c01e0c7e194bc569d4719a6d3", + "opts": {}, "name": "std", - "inputRev?": "main"}}]} + "inputRev?": "main", + "inherited": true}}]}
• lakefile.lean
  • @@ -1,13 +1,21 @@
    import Lake open Lake DSL - package mil { - -- add package configuration options here - } + def moreServerArgs := #[ + "-Dpp.unicode.fun=true", -- pretty-prints `fun a ↦ b` + -- this is set in mathlib, but the exercises are nicer to read without it + -- "-DautoImplicit=false", + "-DrelaxedAutoImplicit=false" + ] + + -- These settings only apply during `lake build`, but not in VSCode editor. + def moreLeanArgs := moreServerArgs + + package mil where + moreServerArgs := moreServerArgs @[default_target] - lean_lib MIL { - -- add library configuration options here - } + lean_lib MIL where + moreLeanArgs := moreLeanArgs require mathlib from git "https://github.com/leanprover-community/mathlib4"@"master"
• lean-toolchain
  • @@ -1,1 +1,1 @@
    - leanprover/lean4:nightly-2023-08-05 + leanprover/lean4:nightly-2023-08-19
• mathematics_in_lean.pdf