Theorems · Theorem · ring theory
NonUnitalStarAlgHom.restrictScalars_injective
∀ (R : Type u_1) {S : Type u_2} {A : Type u_3} {B : Type u_4} [inst : Monoid R] [inst_1 : Monoid S] [inst_2 : Star A]
[inst_3 : Star B] [inst_4 : NonUnitalNonAssocSemiring A] [inst_5 : NonUnitalNonAssocSemiring B]
[inst_6 : MulAction R S] [inst_7 : DistribMulAction S A] [inst_8 : DistribMulAction S B]
[inst_9 : DistribMulAction R A] [inst_10 : DistribMulAction R B] [inst_11 : IsScalarTower R S A]
[inst_12 : IsScalarTower R S B], Function.Injective (NonUnitalStarAlgHom.restrictScalars R)- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsScalarTowerstatement and proof · cited by 3,896
- Monoidstatement and proof · cited by 3,887
- MulActionstatement and proof · cited by 1,294
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- DistribMulActionstatement and proof · cited by 584
- Starstatement and proof · cited by 496
- DFunLike.congr_funproof · cited by 288
- NonUnitalStarAlgHomstatement and proof · cited by 208
- NonUnitalStarAlgHom.extproof · cited by 13
- NonUnitalStarAlgHom.restrictScalarsstatement and proof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.