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Theorems · Theorem · group theory

AddAut.addConj_apply

∀ {G : Type u_3} [inst : AddGroup G] (g h : G), (AddAut.addConj g) h = g + h + -g
Defined in
Mathlib.Algebra.Group.End
Cited by
2 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
AddGroup
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Around this declaration

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

Set.addConj_mem_fixingAddSubgroup · cited by 1Set.addConj_mem_fixingAdd…AddAut.conj_apply · cited by 0AddAut.conj_applyDFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomAddEquiv · cited by 1087AddEquivAddAut · cited by 75AddAutAddAut.addConj · cited by 34AddAut.addConjAddAut.addConj_applyCITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.