Theorems · Theorem · ring theory
IsLeftRegular.star
∀ {R : Type u} [inst : Mul R] [inst_1 : StarMul R] {x : R}, IsLeftRegular x → IsRightRegular (star x)- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Star.starstatement and proof · cited by 1,082
- StarMulstatement and proof · cited by 195
- star_starproof · cited by 135
- IsLeftRegularstatement and proof · cited by 97
- IsRightRegularstatement · cited by 93
- StarMul.star_mulproof · cited by 72
- star_injectiveproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- IsRegular.starproof · cited by 5
- isRightRegular_star_iffproof · cited by 1
- isLeftRegular_star_iffproof · cited by 1