Nuprl Lemma : dl_KS_subtype
dl_KS ⊆r dl_KripkeStructure
Proof
Definitions occuring in Statement :
dl_KS: dl_KS,
dl_KripkeStructure: dl_KripkeStructure,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
subtype_rel: A ⊆r B,
member: t ∈ T,
dl_KS: dl_KS,
record+: record+,
record-select: r.x,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
prop: ℙ,
implies: P ⇒ Q
Lemmas referenced :
subtype_rel_self,
worlds_wf,
KrRel_wf,
nat_wf,
atmFrc_prop_wf,
dl_KS_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaEquality_alt,
sqequalHypSubstitution,
dependentIntersectionElimination,
sqequalRule,
dependentIntersectionEqElimination,
thin,
cut,
hypothesis,
applyEquality,
tokenEquality,
introduction,
extract_by_obid,
isectElimination,
functionEquality,
hypothesisEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
dl\_KS \msubseteq{}r dl\_KripkeStructure
Date html generated:
2020_05_20-AM-09_01_31
Last ObjectModification:
2019_11_27-PM-02_09_00
Theory : dynamic!logic
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