Nuprl Lemma : dl-localF_wf
localF ∈ ∀x:dl-Obj(). (Prop List)
Proof
Definitions occuring in Statement :
dl-localF: localF,
dl-prop: Prop,
dl-Obj: dl-Obj(),
list: T List,
all: ∀x:A. B[x],
member: t ∈ T
Definitions unfolded in proof :
dl-localF: localF,
append: as @ bs,
all: ∀x:A. B[x],
so_lambda: so_lambda3,
member: t ∈ T,
top: Top,
so_apply: x[s1;s2;s3],
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
so_apply: x[s],
so_lambda: so_lambda4,
so_apply: x[s1;s2;s3;s4],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Lemmas referenced :
list_ind_cons_lemma,
istype-void,
list_ind_nil_lemma,
dl-ind_wf,
list_wf,
dl-prop_wf,
subtype-TYPE,
dl-Obj_wf,
nil_wf,
istype-nat,
dl-prog_wf,
cons_wf,
dl-aprop_wf,
dl-false_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isect_memberEquality_alt,
voidElimination,
hypothesis,
isectElimination,
lambdaEquality_alt,
applyEquality,
universeIsType,
inhabitedIsType,
hypothesisEquality,
because_Cache
Latex:
localF \mmember{} \mforall{}x:dl-Obj(). (Prop List)
Date html generated:
2020_05_20-AM-09_01_59
Last ObjectModification:
2019_11_27-PM-02_27_58
Theory : dynamic!logic
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