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Theorems · Theorem · group theory

AddAut.neg_apply

∀ (M : Type u_2) [inst : Add M] (e : AddAut M) (m : M), (-e) m = (AddEquiv.symm e) m
Defined in
Mathlib.Algebra.Group.End
Cited by
5 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
Add
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Around this declaration

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

AddAction.stabilizerEquivStabilizer_neg · cited by 0AddAction.stabilizerEquiv…AddAction.stabilizerEquivStabilizer_symm · cited by 0AddAction.stabilizerEquiv…AddAut.neg_conj_apply · cited by 0AddAut.neg_conj_applyAddAction.stabilizerEquivStabilizer_symm_apply · cited by 0AddAction.stabilizerEquiv…AddAut.inv_apply · cited by 0AddAut.inv_applyDFunLike.coe · cited by 62936DFunLike.coeAddEquiv · cited by 1087AddEquivAddEquiv.symm · cited by 530AddEquiv.symmAddAut · cited by 75AddAutAddAut.neg_def · cited by 2AddAut.neg_defAddAut.neg_applyCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.