Nuprl Lemma : dl_KS_wf
dl_KS ∈ 𝕌'
Proof
Definitions occuring in Statement :
dl_KS: dl_KS,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
dl_KS: dl_KS,
member: t ∈ T,
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s],
record+: record+,
implies: P ⇒ Q
Lemmas referenced :
dl_KripkeStructure_wf,
worlds_wf,
KrRel_wf,
record+_wf,
nat_wf,
atmFrc_prop_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
introduction,
extract_by_obid,
hypothesis,
lambdaFormation_alt,
sqequalRule,
functionEquality,
cumulativity,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
universeIsType,
lambdaEquality_alt,
dependent_functionElimination,
equalityTransitivity,
equalitySymmetry,
tokenEquality,
dependentIntersectionElimination,
dependentIntersectionEqElimination
Latex:
dl\_KS \mmember{} \mBbbU{}'
Date html generated:
2020_05_20-AM-09_01_28
Last ObjectModification:
2019_11_27-PM-02_08_32
Theory : dynamic!logic
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