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Theorems · Definition · order theory

Sublattice.LatticeHom.range

{α : Type u_2} → {β : Type u_3} → [inst : Lattice α] → [inst_1 : Lattice β] → LatticeHom α β → Sublattice β

The range of LatticeHom is a sublattice.

Defined in
Mathlib.Order.Sublattice
Cited by
1 results in Mathlib
Foundations
Depth 18 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.LatticeHom.range_coe · cited by 0LatticeHom.range_coeDFunLike.coe · cited by 62936DFunLike.coeTop.top · cited by 9680Top.topSet.range · cited by 4705Set.rangeLattice · cited by 916LatticeSublattice · cited by 225SublatticeLatticeHom · cited by 192LatticeHomSublattice.map · cited by 20Sublattice.mapSublattice.copy · cited by 2Sublattice.copyLatticeHom.rangeCITED BYCITES

Cites8

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.