Theorems · Theorem · group theory
AddCommute.zero_left
∀ {M : Type u_2} [inst : AddZeroClass M] (a : M), AddCommute 0 a- Defined in
- Mathlib.Algebra.Group.Commute.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddZeroClassstatement and proof · cited by 1,237
- AddCommutestatement · cited by 185
- AddSemiconjBy.zero_leftproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- AddMonoidHom.addCommute_inl_inrproof · cited by 2
- addCommutatorElement_zero_leftproof · cited by 1
- AddMonoidAlgebra.single_zero_commproof · cited by 0
- OrderAddMonoidHom.addCommute_inl_inrproof · cited by 0
- OrderAddMonoidHom.addCommute_inlₗ_inrₗproof · cited by 0