Theorems · Definition · ring theory
Subsemiring.addEquivOp
{R : Type u_2} → [inst : NonAssocSemiring R] → (S : Subsemiring R) → ↥S ≃+ ↥S.opBijection between a subsemiring S and its opposite.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- MulOppositestatement and proof · cited by 1,135
- AddEquivstatement · cited by 1,087
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
- Subsemiring.toSubmonoidproof · cited by 153
- Subsemiring.opstatement and proof · cited by 43
- Submonoid.equivOpproof · cited by 2
Cited by12
Results whose statement or proof uses this declaration.
- Subalgebra.linearEquivOpproof · cited by 3
- Subring.addEquivOpproof · cited by 2
- Subsemiring.mopRingEquivOpproof · cited by 2
- Subsemiring.ringEquivOpMopproof · cited by 2
- Subring.ringEquivOpMop_applystatement · cited by 0
- Subring.mopRingEquivOp_symm_applystatement · cited by 0
- Subsemiring.addEquivOp_apply_coestatement and proof · cited by 0
- Subsemiring.addEquivOp_symm_apply_coestatement and proof · cited by 0
- Subalgebra.mopAlgEquivOp_symm_applystatement · cited by 0
- Subsemiring.mopRingEquivOp_symm_applystatement · cited by 0
- Subsemiring.ringEquivOpMop_applystatement · cited by 0
- Subalgebra.algEquivOpMop_applystatement · cited by 0