Nuprl Lemma : K-le_wf
∀[K:mKripkeStruct]. ∀[i,j:World]. (i ≤ j ∈ ℙ)
Proof
Definitions occuring in Statement :
K-le: i ≤ j,
K-world: World,
mFO-Kripke-struct: mKripkeStruct,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
mFO-Kripke-struct: mKripkeStruct,
spreadn: spread4,
K-world: World,
pi1: fst(t),
K-le: i ≤ j,
pi2: snd(t)
Lemmas referenced :
K-world_wf,
mFO-Kripke-struct_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
cut,
sqequalHypSubstitution,
productElimination,
thin,
sqequalRule,
applyEquality,
hypothesisEquality,
hypothesis,
inhabitedIsType,
universeIsType,
introduction,
extract_by_obid,
isectElimination
Latex:
\mforall{}[K:mKripkeStruct]. \mforall{}[i,j:World]. (i \mleq{} j \mmember{} \mBbbP{})
Date html generated:
2019_10_16-AM-11_44_12
Last ObjectModification:
2018_10_13-PM-00_02_26
Theory : minimal-first-order-logic
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