Theorems · Theorem · ring theory
TwoSidedIdeal.opOrderIso_symm_apply
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] (I : TwoSidedIdeal Rᵐᵒᵖ),
(RelIso.symm TwoSidedIdeal.opOrderIso) I = I.unop- Defined in
- Mathlib.RingTheory.TwoSidedIdeal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocRing
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Cites8
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
- MulOppositestatement and proof · cited by 1,135
- RelIsostatement · cited by 456
- NonUnitalNonAssocRingstatement and proof · cited by 354
- RelIso.symmstatement and proof · cited by 193
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.unopstatement · cited by 4
- TwoSidedIdeal.opOrderIsostatement and proof · cited by 2
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