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Theorems · Theorem · group theory

EmbeddingLike.map_ne_one_iff

∀ {F : Type u_1} {M : Type u_4} {N : Type u_5} [inst : One M] [inst_1 : One N] [inst_2 : FunLike F M N]
  [EmbeddingLike F M N] [OneHomClass F M N] {f : F} {x : M}, f x ≠ 1 ↔ x ≠ 1
Defined in
Mathlib.Algebra.Group.Equiv.Defs
Cited by
3 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
OneOneFunLikeEmbeddingLikeOneHomClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MulEquiv.map_ne_one_iff · cited by 0MulEquiv.map_ne_one_iffRingEquiv.map_ne_one_iff · cited by 0RingEquiv.map_ne_one_iffMulEquivClass.map_ne_one_iff · cited by 0MulEquivClass.map_ne_one_…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeIff.not · cited by 489Iff.notOneHomClass · cited by 38OneHomClassEmbeddingLike · cited by 20EmbeddingLikeEmbeddingLike.map_eq_one_iff · cited by 4EmbeddingLike.map_eq_one_…EmbeddingLike.map_ne_one_iffCITED BYCITES

Cites6

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Cited by3

Results whose statement or proof uses this declaration.