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Theorems · Definition · group theory

Equiv.ofFreeGroupEquiv

{α : Type u_1} → {β : Type u_2} → FreeGroup α ≃* FreeGroup β → α ≃ β

Isomorphic free groups have equivalent bases.

Defined in
Mathlib.GroupTheory.FreeGroup.GeneratorEquiv
Cited by
0 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Equiv.ofIsFreeGroupEquiv · cited by 0Equiv.ofIsFreeGroupEquivDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivMulEquiv · cited by 1142MulEquivFreeGroup · cited by 132FreeGroupMulEquiv.toAdditive · cited by 7MulEquiv.toAdditiveMulEquiv.abelianizationCongr · cited by 4MulEquiv.abelianizationCo…Equiv.ofFreeAbelianGroupEquiv · cited by 0Equiv.ofFreeAbelianGroupE…Equiv.ofFreeGroupEquivCITED BYCITES

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