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Theorems · Theorem · order theory

Sublattice.map_le_iff_le_comap

∀ {α : Type u_2} {β : Type u_3} [inst : Lattice α] [inst_1 : Lattice β] {L : Sublattice α} {f : LatticeHom α β}
  {M : Sublattice β}, Sublattice.map f L ≤ M ↔ L ≤ Sublattice.comap f M
Defined in
Mathlib.Order.Sublattice
Cited by
1 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
LatticeLattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Sublattice.gc_map_comap · cited by 6Sublattice.gc_map_comapLattice · cited by 916LatticeSublattice · cited by 225SublatticeSet.image_subset_iff · cited by 203Set.image_subset_iffLatticeHom · cited by 192LatticeHomSublattice.map · cited by 20Sublattice.mapSublattice.comap · cited by 18Sublattice.comapSublattice.map_le_iff_le_comapCITED BYCITES

Cites6

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Cited by1

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