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Theorems · Theorem · group theory

AddCommute.zero_right

∀ {M : Type u_2} [inst : AddZeroClass M] (a : M), AddCommute a 0
Defined in
Mathlib.Algebra.Group.Commute.Defs
Cited by
6 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
AddZeroClass
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Around this declaration

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

AddCommute.list_sum_right · cited by 2AddCommute.list_sum_rightAddMonoidHom.addCommute_inl_inr · cited by 2AddMonoidHom.addCommute_i…AddMonoidHom.addCommute_noncommPiCoprod · cited by 0AddMonoidHom.addCommute_n…addCommutatorElement_zero_right · cited by 0addCommutatorElement_zero…OrderAddMonoidHom.addCommute_inl_inr · cited by 0OrderAddMonoidHom.addComm…OrderAddMonoidHom.addCommute_inlₗ_inrₗ · cited by 0OrderAddMonoidHom.addComm…AddZeroClass · cited by 1237AddZeroClassAddCommute · cited by 185AddCommuteAddSemiconjBy.zero_right · cited by 3AddSemiconjBy.zero_rightAddCommute.zero_rightCITED BYCITES

Cites3

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

Cited by6

Results whose statement or proof uses this declaration.