Theorems · Theorem · group theory
Subgroup.op_sSup
∀ {G : Type u_2} [inst : Group G] (S : Set (Subgroup G)), (sSup S).op = sSup (Subgroup.unop ⁻¹' S)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Set.preimagestatement · cited by 4,946
- Subgroupstatement and proof · cited by 3,593
- MulOppositestatement · cited by 1,135
- SupSet.sSupstatement · cited by 954
- Subgroup.opstatement · cited by 58
- Subgroup.unopstatement · cited by 30
- OrderIso.map_sSup_eq_sSup_symm_preimageproof · cited by 18
- Subgroup.opEquivproof · cited by 18
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