Theorems · Theorem · group theory
Subsemigroup.unop_le_unop_iff
∀ {M : Type u_2} [inst : Mul M] {S₁ S₂ : Subsemigroup Mᵐᵒᵖ}, S₁.unop ≤ S₂.unop ↔ S₁ ≤ S₂- Cited by
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- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- Mul
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOppositestatement and proof · cited by 1,135
- Subsemigroupstatement and proof · cited by 323
- Function.Surjective.forallproof · cited by 214
- Subsemigroup.unopstatement · cited by 25
- MulOpposite.unop_surjectiveproof · cited by 11
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