Theorems · Theorem · ring theory
Subring.addEquivOp_symm_apply_coe
∀ {R : Type u_2} [inst : NonAssocRing R] (S : Subring R) (b : ↥S.op), ↑(S.addEquivOp.symm b) = MulOpposite.unop ↑b- 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
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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
- Submonoidstatement · cited by 3,086
- MulOppositestatement and proof · cited by 1,135
- AddEquivstatement · cited by 1,087
- Subringstatement and proof · cited by 602
- AddEquiv.symmstatement and proof · cited by 530
- NonAssocRingstatement and proof · cited by 483
- MulOpposite.unopstatement · cited by 268
- Subsemiring.toSubmonoidstatement and proof · cited by 153
- Subring.toSubsemiringstatement and proof · cited by 71
- Submonoid.opstatement and proof · cited by 38
- Subring.opstatement · cited by 32
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