Theorems · Theorem · ring theory
IsStarNormal.of_inr
∀ {R : Type u_1} {A : Type u_2} [inst : Semiring R] [inst_1 : StarAddMonoid R] [inst_2 : Star A] {a : A}
[inst_3 : AddCommMonoid A] [inst_4 : Mul A] [inst_5 : SMulWithZero R A], IsStarNormal ↑a → IsStarNormal aAlias of the forward direction of Unitization.isStarNormal_inr.
- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Starstatement and proof · cited by 496
- StarAddMonoidstatement and proof · cited by 296
- Unitizationstatement · cited by 220
- IsStarNormalstatement · cited by 117
- SMulWithZerostatement and proof · cited by 113
- Unitization.inrstatement · cited by 109
- Unitization.isStarNormal_inrproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.