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Theorems · Theorem · group theory

FreeAddGroup.map_surjective

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

If α and β are arbitrary types and there is a surjection between them, then the induced map on their additive free groups is also surjective.

Defined in
Mathlib.GroupTheory.FreeGroup.Basic
Cited by
1 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

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