Theorems · Theorem · ring theory
Subring.unop_sSup
∀ {R : Type u_2} [inst : NonAssocRing R] (S : Set (Subring Rᵐᵒᵖ)), (sSup S).unop = sSup (Subring.op ⁻¹' S)- Defined in
- Mathlib.Algebra.Ring.Subring.MulOpposite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRing
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.preimagestatement · cited by 4,946
- MulOppositestatement and proof · cited by 1,135
- SupSet.sSupstatement · cited by 954
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- OrderIso.symmproof · cited by 475
- Subring.opstatement · cited by 32
- Subring.unopstatement · cited by 25
- OrderIso.map_sSup_eq_sSup_symm_preimageproof · cited by 18
- Subring.opEquivproof · cited by 18
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