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Fix creation of Trans instance in calculational proof section #83

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Fix creation of Trans instance in calculational proof section #83

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4 changes: 2 additions & 2 deletions quantifiers_and_equality.md
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Original file line number Diff line number Diff line change
Expand Up @@ -480,7 +480,7 @@ small example demonstrates how to extend the `calc` notation using new `Trans` i
def divides (x y : Nat) : Prop :=
∃ k, k*x = y

def divides_trans (h₁ : divides x y) (h₂ : divides y z) : divides x z :=
def divides_trans {x y z : Nat} (h₁ : divides x y) (h₂ : divides y z) : divides x z :=
let ⟨k₁, d₁⟩ := h₁
let ⟨k₂, d₂⟩ := h₂
⟨k₁ * k₂, by rw [Nat.mul_comm k₁ k₂, Nat.mul_assoc, d₁, d₂]⟩
Expand All @@ -497,7 +497,7 @@ example (h₁ : divides x y) (h₂ : y = z) : divides x (2*z) :=
_ = z := h₂
divides _ (2*z) := divides_mul ..

infix:50 " ∣ " => divides
infix:50 (priority := high) " ∣ " => divides

example (h₁ : divides x y) (h₂ : y = z) : divides x (2*z) :=
calc
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