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Theorems · Theorem · group theory

FreeGroup.map_injective

∀ {α : Type u} {β : Type v} {f : α → β}, Function.Injective f → Function.Injective ⇑(FreeGroup.map f)

If α and β are arbitrary types and there is an injection between them, then the induced map on their free groups is also injective.

Defined in
Mathlib.GroupTheory.FreeGroup.Basic
Cited by
1 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

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