Nuprl Lemma : name-morph_wf
∀[I,J:Cname List]. (name-morph(I;J) ∈ Type)
Proof
Definitions occuring in Statement :
name-morph: name-morph(I;J),
coordinate_name: Cname,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
name-morph: name-morph(I;J),
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
so_apply: x[s],
all: ∀x:A. B[x]
Lemmas referenced :
nameset_wf,
extd-nameset_wf,
all_wf,
assert_wf,
isname_wf,
equal_wf,
list_wf,
coordinate_name_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
setEquality,
functionEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
lambdaEquality,
applyEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[I,J:Cname List]. (name-morph(I;J) \mmember{} Type)
Date html generated:
2016_05_20-AM-09_29_31
Last ObjectModification:
2015_12_28-PM-04_47_37
Theory : cubical!sets
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