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Theorems · Theorem · group theory

FreeGroup.lift_of_eq_id

∀ (α : Type u_1), FreeGroup.lift FreeGroup.of = MonoidHom.id (FreeGroup α)
Defined in
Mathlib.GroupTheory.FreeGroup.Basic
Cited by
2 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FreeGroup.closure_range_of · cited by 2FreeGroup.closure_range_ofFreeGroup.lift_of_apply · cited by 0FreeGroup.lift_of_applyDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivMonoidHom · cited by 3629MonoidHomEquiv.apply_symm_apply · cited by 346Equiv.apply_symm_applyMonoidHom.id · cited by 323MonoidHom.idFreeGroup · cited by 132FreeGroupFreeGroup.of · cited by 39FreeGroup.ofFreeGroup.lift · cited by 32FreeGroup.liftFreeGroup.lift_of_eq_idCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.