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Theorems · Theorem · order theory

Sublattice.map_mono

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

Around this declaration

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

Sublattice.map_inf_le · cited by 0Sublattice.map_inf_leMonotone · cited by 1397MonotoneLattice · cited by 916LatticeSublattice · cited by 225SublatticeSet.image_mono · cited by 197Set.image_monoLatticeHom · cited by 192LatticeHomSublattice.map · cited by 20Sublattice.mapSublattice.map_monoCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.