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Theorems · Theorem · group theory

AddEquiv.map_ne_zero_iff

∀ {M : Type u_4} {N : Type u_5} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] (h : M ≃+ N) {x : M}, h x ≠ 0 ↔ x ≠ 0
Defined in
Mathlib.Algebra.Group.Equiv.Defs
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses Quot.sound
Assumes
AddZeroClassAddZeroClass
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Around this declaration

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

LinearEquiv.map_ne_zero_iff · cited by 6LinearEquiv.map_ne_zero_i…Int.addEquiv_eq_refl_or_neg · cited by 0Int.addEquiv_eq_refl_or_n…DFunLike.coe · cited by 62936DFunLike.coeAddZeroClass · cited by 1237AddZeroClassAddEquiv · cited by 1087AddEquivEmbeddingLike.map_ne_zero_iff · cited by 6EmbeddingLike.map_ne_zero…AddEquiv.map_ne_zero_iffCITED BYCITES

Cites4

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Cited by2

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