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Theorems · Theorem · group theory

Quot.map.congr_simp

∀ {α : Sort u_1} {β : Sort u_2} {ra : α → α → Prop} {rb : β → β → Prop} (f f_1 : α → β) (e_f : f = f_1)
  (h : ∀ ⦃a b : α⦄, ra a b → rb (f a) (f b)) (a a_1 : Quot ra), a = a_1 → Quot.map f h a = Quot.map f_1 ⋯ a_1
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Mathlib.GroupTheory.FreeGroup.Basic
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Foundations
Depth 5 from the axioms · uses Quot.sound
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