Nuprl Lemma : ts-final_wf
∀[ts:transition-system{i:l}]. (ts-final(ts) ∈ ts-reachable(ts) ⟶ ℙ)
Proof
Definitions occuring in Statement :
ts-final: ts-final(ts),
ts-reachable: ts-reachable(ts),
transition-system: transition-system{i:l},
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x]
Definitions unfolded in proof :
ts-final: ts-final(ts),
ts-reachable: ts-reachable(ts),
transition-system: transition-system{i:l},
ts-init: ts-init(ts),
ts-rel: ts-rel(ts),
ts-type: ts-type(ts),
uall: ∀[x:A]. B[x],
member: t ∈ T,
pi1: fst(t),
pi2: snd(t),
prop: ℙ,
infix_ap: x f y,
subtype_rel: A ⊆r B
Lemmas referenced :
rel_star_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
productElimination,
thin,
hypothesisEquality,
sqequalHypSubstitution,
axiomEquality,
equalityTransitivity,
hypothesis,
equalitySymmetry,
productEquality,
universeEquality,
cumulativity,
functionEquality,
setEquality,
applyEquality,
lemma_by_obid,
isectElimination,
lambdaEquality
Latex:
\mforall{}[ts:transition-system\{i:l\}]. (ts-final(ts) \mmember{} ts-reachable(ts) {}\mrightarrow{} \mBbbP{})
Date html generated:
2016_05_15-PM-05_39_41
Last ObjectModification:
2015_12_27-PM-02_05_06
Theory : general
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