Theorems · Theorem · order theory
Sublattice.gc_map_comap
∀ {α : Type u_2} {β : Type u_3} [inst : Lattice α] [inst_1 : Lattice β] (f : LatticeHom α β),
GaloisConnection (Sublattice.map f) (Sublattice.comap f)- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
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.
- Latticestatement and proof · cited by 916
- GaloisConnectionstatement · cited by 253
- Sublatticestatement and proof · cited by 225
- LatticeHomstatement and proof · cited by 192
- Sublattice.mapstatement · cited by 20
- Sublattice.comapstatement · cited by 18
- Sublattice.map_le_iff_le_comapproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Sublattice.comap_topproof · cited by 1
- Sublattice.comap_infproof · cited by 0
- Sublattice.map_botproof · cited by 0
- Sublattice.map_iSupproof · cited by 0
- Sublattice.map_supproof · cited by 0
- Sublattice.comap_iInfproof · cited by 0