Theorems · Theorem · ring theory
IsRegular.star
∀ {R : Type u} [inst : Mul R] [inst_1 : StarMul R] {x : R}, IsRegular x → IsRegular (star x)- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 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 · cited by 1,082
- StarMulstatement and proof · cited by 195
- IsRegularstatement and proof · cited by 116
- IsRegular.leftproof · cited by 39
- IsRegular.rightproof · cited by 19
- IsRightRegular.starproof · cited by 3
- IsLeftRegular.starproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- star_left_conjugate_lt_conjugateproof · cited by 2
- star_mul_self_posproof · cited by 2
- mul_star_self_posproof · cited by 0
- star_right_conjugate_lt_conjugateproof · cited by 0
- star_right_conjugate_posproof · cited by 0