Theorems · Theorem · commutative algebra
Subsemiring.centerToMulOpposite_apply_coe
∀ {R : Type u} [inst : NonAssocSemiring R] (r : ↥(Subsemigroup.center R)),
↑(Subsemiring.centerToMulOpposite r) = MulOpposite.op ↑r- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiring
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Cites10
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
- RingEquivstatement · cited by 1,147
- MulOppositestatement · cited by 1,135
- NonAssocSemiringstatement and proof · cited by 805
- MulOpposite.opstatement · cited by 520
- Subsemiringstatement · cited by 456
- Subsemigroupstatement · cited by 323
- Subsemigroup.centerstatement and proof · cited by 38
- Subsemiring.centerstatement · cited by 18
- Subsemiring.centerToMulOppositestatement and proof · cited by 2
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