Nuprl Lemma : fl0_wf
∀[I:fset(ℕ)]. ∀[x:names(I)]. ((x=0) ∈ Point(face_lattice(I)))
Proof
Definitions occuring in Statement :
fl0: (x=0),
face_lattice: face_lattice(I),
names: names(I),
lattice-point: Point(l),
fset: fset(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
face_lattice: face_lattice(I),
uall: ∀[x:A]. B[x],
member: t ∈ T,
fl0: (x=0)
Lemmas referenced :
face-lattice0_wf,
names_wf,
names-deq_wf,
fset_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[I:fset(\mBbbN{})]. \mforall{}[x:names(I)]. ((x=0) \mmember{} Point(face\_lattice(I)))
Date html generated:
2016_05_18-PM-00_09_30
Last ObjectModification:
2015_12_28-PM-03_02_13
Theory : cubical!type!theory
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