Theorems · Theorem · ring theory
Subalgebra.linearEquivOp_symm_apply_coe
∀ {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.op), ↑(S.linearEquivOp.symm a) = MulOpposite.unop ↑a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearEquivstatement · cited by 3,317
- Submonoidstatement · cited by 3,086
- LinearEquiv.symmstatement and proof · cited by 1,461
- Subalgebrastatement and proof · cited by 1,353
- MulOppositestatement and proof · cited by 1,135
- Subsemiringstatement · cited by 456
- MulOpposite.unopstatement · cited by 268
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