Theorems · Definition · order theory
giSSupIic
{α : Type u} → [inst : CompleteSemilatticeSup α] → GaloisInsertion sSup Set.IicsSup and Iic form a Galois insertion.
- Defined in
- Mathlib.Order.GaloisConnection.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteSemilatticeSup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Iicstatement · cited by 1,111
- SupSet.sSupstatement · cited by 954
- GaloisInsertionstatement · cited by 35
- CompleteSemilatticeSupstatement and proof · cited by 18
- gc_sSup_Iicproof · cited by 1
- GaloisConnection.toGaloisInsertionproof · cited by 0
Cited by2
Results whose statement or proof uses this declaration.
- gi_sSup_Iicproof · cited by 0
- Set.sUnionPowersetGIproof · cited by 0