Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.coe_copy
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
[inst_3 : Star A] (S : NonUnitalStarSubalgebra R A) (s : Set A) (hs : s = ↑S), ↑(S.copy s hs) = s- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
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- Foundations
- Depth 21 from the axioms · uses propext
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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
- SetLike.coestatement and proof · cited by 8,199
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Starstatement and proof · cited by 496
- NonUnitalStarSubalgebrastatement and proof · cited by 196
- NonUnitalStarSubalgebra.copystatement · cited by 3
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