Theorems · Theorem · ring theory
Subalgebra.algEquivOpMop_apply
∀ {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
(S : Subalgebra R A) (a : ↥S.toSubsemiring), S.algEquivOpMop a = MulOpposite.op (S.addEquivOp a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgEquivstatement · cited by 1,681
- Subalgebrastatement and proof · cited by 1,353
- MulOppositestatement · cited by 1,135
- AddEquivstatement · cited by 1,087
- MulOpposite.opstatement · cited by 520
- Subsemiringstatement · cited by 456
- Subalgebra.toSubsemiringstatement and proof · cited by 115
- Subsemiring.opstatement · cited by 43
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