Nuprl Lemma : K-world_wf
∀[K:mKripkeStruct]. (World ∈ Type)
Proof
Definitions occuring in Statement :
K-world: World,
mFO-Kripke-struct: mKripkeStruct,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
K-world: World,
mFO-Kripke-struct: mKripkeStruct,
top: Top
Lemmas referenced :
pi1_wf_top,
top_wf,
istype-void,
mFO-Kripke-struct_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
universeEquality,
productEquality,
cumulativity,
hypothesis,
productElimination,
independent_pairEquality,
hypothesisEquality,
isect_memberEquality_alt,
voidElimination,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[K:mKripkeStruct]. (World \mmember{} Type)
Date html generated:
2019_10_16-AM-11_44_03
Last ObjectModification:
2018_10_13-AM-11_52_43
Theory : minimal-first-order-logic
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