Theorems · Theorem · ring theory
Subring.unop_eq_bot
∀ {R : Type u_2} [inst : NonAssocRing R] {S : Subring Rᵐᵒᵖ}, S.unop = ⊥ ↔ S = ⊥- Defined in
- Mathlib.Algebra.Ring.Subring.MulOpposite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRing
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- MulOppositestatement and proof · cited by 1,135
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subring.unopstatement · cited by 25
- Subring.unop_injectiveproof · cited by 2
- Subring.unop_botproof · cited by 1
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