Theorems · Theorem · ring theory
Subring.ringEquivOpMop_apply
∀ {R : Type u_2} [inst : NonAssocRing R] (S : Subring R) (a : ↥S.toSubsemiring),
S.ringEquivOpMop a = MulOpposite.op (S.addEquivOp a)- Defined in
- Mathlib.Algebra.Ring.Subring.MulOpposite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- AddEquivstatement · cited by 1,087
- Subringstatement and proof · cited by 602
- MulOpposite.opstatement · cited by 520
- NonAssocRingstatement and proof · cited by 483
- Subsemiringstatement · cited by 456
- Subring.toSubsemiringstatement and proof · cited by 71
- Subsemiring.opstatement · cited by 43
- Subring.opstatement · cited by 32
- Subsemiring.addEquivOpstatement · cited by 8
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