Theorems · Theorem · group theory
Subsemigroup.unop_eq_bot
∀ {M : Type u_2} [inst : Mul M] {S : Subsemigroup Mᵐᵒᵖ}, S.unop = ⊥ ↔ S = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Mul
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Cites6
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
- Subsemigroupstatement and proof · cited by 323
- Subsemigroup.unopstatement · cited by 25
- Subsemigroup.unop_injectiveproof · cited by 2
- Subsemigroup.unop_botproof · cited by 1
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