Theorems · Theorem · group theory
AddSubmonoid.op_le_iff
∀ {M : Type u_2} [inst : AddZeroClass M] {S₁ : AddSubmonoid M} {S₂ : AddSubmonoid Mᵃᵒᵖ}, S₁.op ≤ S₂ ↔ S₁ ≤ S₂.unop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- AddZeroClass
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement and proof · cited by 1,178
- AddOppositestatement and proof · cited by 452
- Function.Surjective.forallproof · cited by 214
- AddSubmonoid.opstatement · cited by 28
- AddSubmonoid.unopstatement · cited by 25
- AddOpposite.op_surjectiveproof · cited by 12
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