Theorems · Theorem · group theory
AddSubgroup.le_op_iff
∀ {G : Type u_2} [inst : AddGroup G] {S₁ : AddSubgroup Gᵃᵒᵖ} {S₂ : AddSubgroup G}, S₁ ≤ S₂.op ↔ S₁.unop ≤ S₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddOppositestatement and proof · cited by 452
- Function.Surjective.forallproof · cited by 214
- AddSubgroup.opstatement · cited by 57
- AddSubgroup.unopstatement · cited by 30
- AddOpposite.op_surjectiveproof · cited by 12
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