Theorems · Theorem · group theory
EmbeddingLike.map_eq_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
- 4 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- OneHomClassstatement and proof · cited by 38
- EmbeddingLikestatement and proof · cited by 20
- map_eq_one_iffproof · cited by 15
- EmbeddingLike.injectiveproof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- EmbeddingLike.map_ne_one_iffproof · cited by 3
- MulEquiv.map_eq_one_iffproof · cited by 1
- RingEquiv.map_eq_one_iffproof · cited by 1
- MulEquivClass.map_eq_one_iffproof · cited by 0