Theorems · Theorem · ring theory
Subsemiring.addEquivOp_apply_coe
∀ {R : Type u_2} [inst : NonAssocSemiring R] (S : Subsemiring R) (a : ↥S.toSubmonoid),
↑(S.addEquivOp a) = MulOpposite.op ↑a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Submonoidstatement · cited by 3,086
- MulOppositestatement · cited by 1,135
- AddEquivstatement · cited by 1,087
- NonAssocSemiringstatement and proof · cited by 805
- MulOpposite.opstatement · cited by 520
- Subsemiringstatement and proof · cited by 456
- Subsemiring.toSubmonoidstatement and proof · cited by 153
- Subsemiring.opstatement · cited by 43
- Submonoid.opstatement · cited by 38
- Subsemiring.addEquivOpstatement and proof · cited by 8
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