Theorems · Theorem · group theory
EmbeddingLike.map_ne_zero_iff
∀ {F : Type u_1} {M : Type u_4} {N : Type u_5} [inst : Zero M] [inst_1 : Zero N] [inst_2 : FunLike F M N]
[EmbeddingLike F M N] [ZeroHomClass F M N] {f : F} {x : M}, f x ≠ 0 ↔ x ≠ 0- Defined in
- Mathlib.Algebra.Group.Equiv.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 8 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
- Iff.notproof · cited by 489
- ZeroHomClassstatement and proof · cited by 74
- EmbeddingLikestatement and proof · cited by 20
- EmbeddingLike.map_eq_zero_iffproof · cited by 9
Cited by6
Results whose statement or proof uses this declaration.
- RingEquiv.map_ne_zero_iffproof · cited by 2
- AddEquiv.map_ne_zero_iffproof · cited by 2
- MvPolynomial.nonempty_support_optionEquivLeftproof · cited by 1
- IsAlgebraic.negproof · cited by 1
- MvPolynomial.nonempty_support_finSuccEquivproof · cited by 1
- AddEquivClass.map_ne_zero_iffproof · cited by 0