Theorems · Theorem · commutative algebra
IsRightRegular.left_of_commute
∀ {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
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Commutestatement and proof · cited by 639
- IsLeftRegularstatement · cited by 97
- IsRightRegularstatement and proof · cited by 93
- Commute.symmproof · cited by 79
- Commute.symm_iffproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Commute.isRightRegular_iffproof · cited by 2