Theorems · Theorem · ring theory
Subring.op_sup
∀ {R : Type u_2} [inst : NonAssocRing R] (S₁ S₂ : Subring R), (S₁ ⊔ S₂).op = S₁.op ⊔ S₂.op- 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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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOppositestatement · cited by 1,135
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- OrderIso.map_supproof · cited by 37
- Subring.opstatement · cited by 32
- Subring.opEquivproof · cited by 18
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