Theorems · Theorem · group theory
AddSubgroup.unop_sInf
∀ {G : Type u_2} [inst : AddGroup G] (S : Set (AddSubgroup Gᵃᵒᵖ)), (sInf S).unop = sInf (AddSubgroup.op ⁻¹' S)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Set.preimagestatement · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- InfSet.sInfstatement · cited by 935
- OrderIso.symmproof · cited by 475
- AddOppositestatement and proof · cited by 452
- AddSubgroup.opstatement · cited by 57
- AddSubgroup.unopstatement · cited by 30
- AddSubgroup.opEquivproof · cited by 18
- OrderIso.map_sInf_eq_sInf_symm_preimageproof · cited by 18
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.