mathlib
5fd24816 - feat(logic/basic): add four lemmas about (d)ite (#16879)

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3 years ago
feat(logic/basic): add four lemmas about (d)ite (#16879) ```lean lemma dite_eq_iff' : dite P A B = c ↔ (∀ h, A h = c) ∧ (∀ h, B h = c) := lemma ite_eq_iff' : ite P a b = c ↔ (P → a = c) ∧ (¬ P → b = c) := dite_eq_iff' lemma dite_dite_comm {B : Q → α} {C : ¬P → ¬Q → α} (h : P → ¬Q) : (if p : P then A p else if q : Q then B q else C p q) = (if q : Q then B q else if p : P then A p else C p q) := lemma ite_ite_comm (h : P → ¬Q) : (if P then a else if Q then b else c) = (if Q then b else if P then a else c) := ``` for #15681
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