Theorems · Theorem · ring theory
Subalgebra.coe_copy
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] (S : Subalgebra R A)
(s : Set A) (hs : s = ↑S), ↑(S.copy s hs) = s- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses no axioms
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
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Cites7
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
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement and proof · cited by 8,199
- Subalgebrastatement and proof · cited by 1,353
- Subalgebra.copystatement and proof · cited by 5
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