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Theorems · Theorem · group theory

Commute.zero_left

∀ {G₀ : Type u_2} [inst : MulZeroClass G₀] (a : G₀), Commute 0 a
Defined in
Mathlib.Algebra.GroupWithZero.Commute
Cited by
6 results in Mathlib
Foundations
Depth 6 from the axioms · uses propext
Assumes
MulZeroClass
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Around this declaration

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

Nat.cast_commute · cited by 24Nat.cast_commuteCommute.cfcₙ · cited by 2Commute.cfcₙCommute.cfc · cited by 2Commute.cfcCommute.cfc_real · cited by 1Commute.cfc_realCommute.span_left · cited by 1Commute.span_leftCommute.cfcₙ_real · cited by 1Commute.cfcₙ_realCommute · cited by 639CommuteMulZeroClass · cited by 232MulZeroClassSemiconjBy.zero_left · cited by 1SemiconjBy.zero_leftCommute.zero_leftCITED 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.