Theorems · Theorem · group theory
Submonoid.op_le_iff
∀ {M : Type u_2} [inst : MulOneClass M] {S₁ : Submonoid M} {S₂ : Submonoid Mᵐᵒᵖ}, S₁.op ≤ S₂ ↔ S₁ ≤ S₂.unop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClass
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement and proof · cited by 3,086
- MulOppositestatement and proof · cited by 1,135
- MulOneClassstatement and proof · cited by 1,018
- Function.Surjective.forallproof · cited by 214
- Submonoid.opstatement · cited by 38
- Submonoid.unopstatement · cited by 26
- MulOpposite.op_surjectiveproof · cited by 21
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