Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.centralizer.congr_simp
∀ (R : Type u) {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : StarRing A]
[inst_3 : Module R A] [inst_4 : IsScalarTower R A A] [inst_5 : SMulCommClass R A A] (s s_1 : Set A),
s = s_1 → NonUnitalStarSubalgebra.centralizer R s = NonUnitalStarSubalgebra.centralizer R s_1- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- StarRingstatement and proof · cited by 1,686
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalStarSubalgebrastatement · cited by 196
- NonUnitalStarSubalgebra.centralizerstatement and proof · cited by 11
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