Nuprl Lemma : face_lattice_wf
∀[I:fset(ℕ)]. (face_lattice(I) ∈ BoundedDistributiveLattice)
Proof
Definitions occuring in Statement :
face_lattice: face_lattice(I),
bdd-distributive-lattice: BoundedDistributiveLattice,
fset: fset(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
face_lattice: face_lattice(I)
Lemmas referenced :
face-lattice_wf,
names_wf,
names-deq_wf,
fset_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[I:fset(\mBbbN{})]. (face\_lattice(I) \mmember{} BoundedDistributiveLattice)
Date html generated:
2016_05_18-PM-00_09_04
Last ObjectModification:
2015_12_28-PM-03_02_31
Theory : cubical!type!theory
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