Nuprl Lemma : dl-localT_wf
localT ∈ dl-Obj() ⟶ (Prop List)
Proof
Definitions occuring in Statement :
dl-localT: localT,
dl-prop: Prop,
dl-Obj: dl-Obj(),
list: T List,
member: t ∈ T,
function: x:A ⟶ B[x]
Definitions unfolded in proof :
dl-localT: localT,
member: t ∈ T,
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],
all: ∀x:A. B[x]
Lemmas referenced :
dl-ind_wf,
list_wf,
dl-prop_wf,
subtype-TYPE,
dl-Obj_wf,
nil_wf,
istype-nat,
dl-prog_wf,
cons_wf,
dl-false_wf,
append_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
lambdaEquality_alt,
hypothesis,
applyEquality,
universeIsType,
inhabitedIsType,
hypothesisEquality,
because_Cache
Latex:
localT \mmember{} dl-Obj() {}\mrightarrow{} (Prop List)
Date html generated:
2020_05_20-AM-09_01_54
Last ObjectModification:
2019_11_27-PM-02_29_22
Theory : dynamic!logic
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