Theorems · Definition · ring theory
Subsemiring.mopRingEquivOp
{R : Type u_2} → [inst : NonAssocSemiring R] → (S : Subsemiring R) → (↥S)ᵐᵒᵖ ≃+* ↥S.opBijection between MulOpposite of a subsemiring S and its opposite.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 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.
- RingEquivstatement · cited by 1,147
- MulOppositestatement and proof · cited by 1,135
- AddEquivproof · cited by 1,087
- NonAssocSemiringstatement and proof · cited by 805
- AddEquiv.symmproof · cited by 530
- Subsemiringstatement and proof · cited by 456
- AddEquiv.toEquivproof · cited by 174
- AddEquiv.transproof · cited by 53
- Subsemiring.opstatement and proof · cited by 43
- MulOpposite.opAddEquivproof · cited by 25
- Subsemiring.addEquivOpproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- Subring.mopRingEquivOpproof · cited by 2
- Subalgebra.mopAlgEquivOpproof · cited by 2
- Subsemiring.mopRingEquivOp_apply_coestatement and proof · cited by 0
- Subsemiring.mopRingEquivOp_symm_applystatement and proof · cited by 0