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Theorems · Definition · order theory

LatticeHom.snd

{α : Type u_2} → {β : Type u_3} → [inst : Lattice α] → [inst_1 : Lattice β] → LatticeHom (α × β) β

Natural projection homomorphism from α × β to β.

Defined in
Mathlib.Order.Hom.Lattice
Cited by
5 results in Mathlib
Foundations
Depth 19 from the axioms · uses no axioms
Assumes
LatticeLattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Sublattice.top_prod · cited by 1Sublattice.top_prodSublattice.le_prod_iff · cited by 0Sublattice.le_prod_iffLatticeHom.coe_snd · cited by 0LatticeHom.coe_sndLatticeHom.snd_apply · cited by 0LatticeHom.snd_applySublattice.top_prod_top · cited by 0Sublattice.top_prod_topLattice · cited by 916LatticeLatticeHom · cited by 192LatticeHomLatticeHom.sndCITED BYCITES

Cites2

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

Cited by5

Results whose statement or proof uses this declaration.