Nuprl Lemma : dl_KripkeStructure_wf
dl_KripkeStructure ∈ 𝕌'
Proof
Definitions occuring in Statement :
dl_KripkeStructure: dl_KripkeStructure,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
dl_KripkeStructure: dl_KripkeStructure,
worlds: worlds(k),
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
record+: record+,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
prop: ℙ,
guard: {T}
Lemmas referenced :
record_wf,
top_wf,
istype-atom,
record+_wf,
istype-universe,
record-select_wf,
subtype_rel_universe1,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
sqequalRule,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
lambdaEquality_alt,
cumulativity,
hypothesis,
lambdaFormation_alt,
universeEquality,
universeIsType,
dependent_functionElimination,
hypothesisEquality,
equalityTransitivity,
equalitySymmetry,
tokenEquality,
dependentIntersectionElimination,
applyEquality,
instantiate,
functionEquality,
dependentIntersectionEqElimination,
because_Cache
Latex:
dl\_KripkeStructure \mmember{} \mBbbU{}'
Date html generated:
2020_05_20-AM-09_01_09
Last ObjectModification:
2019_11_27-PM-01_59_14
Theory : dynamic!logic
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