Theorems · Theorem · ring theory
Subsemiring.unop_eq_bot
∀ {R : Type u_2} [inst : NonAssocSemiring R] {S : Subsemiring Rᵐᵒᵖ}, S.unop = ⊥ ↔ S = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiring
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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
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
- Subsemiring.unopstatement · cited by 26
- Subsemiring.unop_injectiveproof · cited by 2
- Subsemiring.unop_botproof · cited by 1
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