Nuprl Lemma : bounded-lattice-hom_wf
∀[l1,l2:BoundedLatticeStructure]. (Hom(l1;l2) ∈ Type)
Proof
Definitions occuring in Statement :
bounded-lattice-hom: Hom(l1;l2),
bounded-lattice-structure: BoundedLatticeStructure,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bounded-lattice-hom: Hom(l1;l2),
subtype_rel: A ⊆r B,
lattice-hom: Hom(l1;l2),
and: P ∧ Q,
prop: ℙ
Lemmas referenced :
lattice-hom_wf,
bounded-lattice-structure-subtype,
and_wf,
equal_wf,
lattice-point_wf,
lattice-0_wf,
lattice-1_wf,
bounded-lattice-structure_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
setEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
applyEquality,
hypothesis,
because_Cache,
setElimination,
rename,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality
Latex:
\mforall{}[l1,l2:BoundedLatticeStructure]. (Hom(l1;l2) \mmember{} Type)
Date html generated:
2016_05_18-AM-11_20_35
Last ObjectModification:
2015_12_28-PM-02_03_19
Theory : lattices
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