Mathlib Map

Theorems · Theorem · group theory

AddSemiconjBy.zero_right

∀ {M : Type u_2} [inst : AddZeroClass M] (a : M), AddSemiconjBy a 0 0

Any element semiconjugates 0 to 0.

Defined in
Mathlib.Algebra.Group.Semiconj.Defs
Cited by
3 results in Mathlib
Foundations
Depth 6 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.zero_right · cited by 6AddCommute.zero_rightAddSemiconjBy.nsmul_right · cited by 5AddSemiconjBy.nsmul_rightAddSemiconjBy.zero_left · cited by 3AddSemiconjBy.zero_leftadd_zero · cited by 2707add_zerozero_add · cited by 2366zero_addAddZeroClass · cited by 1237AddZeroClassAddSemiconjBy · cited by 56AddSemiconjByAddSemiconjBy.zero_rightCITED BYCITES

Cites4

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

Cited by3

Results whose statement or proof uses this declaration.