Mathlib Map

Theorems · Theorem · commutative algebra

Commute.isRightRegular_iff

∀ {R : Type u_1} [inst : Mul R] {a : R}, (∀ (b : R), Commute a b) → (IsRightRegular a ↔ IsLeftRegular a)
Defined in
Mathlib.Algebra.Regular.Basic
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext, Quot.sound
Assumes
Mul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Submonoid.LocalizationMap.isCancelMulZero · cited by 2LocalizationMap.isCancelM…Submonoid.LocalizationMap.isCancelMul · cited by 0LocalizationMap.isCancelM…Commute · cited by 639CommuteIsLeftRegular · cited by 97IsLeftRegularIsRightRegular · cited by 93IsRightRegularIsLeftRegular.right_of_commute · cited by 4IsLeftRegular.right_of_co…IsRightRegular.left_of_commute · cited by 1IsRightRegular.left_of_co…Commute.isRightRegular_iffCITED BYCITES

Cites5

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.