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Theorems · Theorem · group theory

FreeGroup.map.comp

∀ {α : Type u} {β : Type v} {γ : Type w} (f : α → β) (g : β → γ) (x : FreeGroup α),
  (FreeGroup.map g) ((FreeGroup.map f) x) = (FreeGroup.map (g ∘ f)) x
Defined in
Mathlib.GroupTheory.FreeGroup.Basic
Cited by
2 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
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Around this declaration

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FreeGroup.map_injective · cited by 1FreeGroup.map_injectiveFreeGroup.freeGroupCongr_trans · cited by 0FreeGroup.freeGroupCongr_…DFunLike.coe · cited by 62936DFunLike.coeMonoidHom · cited by 3629MonoidHomFreeGroup · cited by 132FreeGroupFreeGroup.mk · cited by 34FreeGroup.mkFreeGroup.map · cited by 20FreeGroup.mapmap.compCITED BYCITES

Cites5

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Cited by2

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