Nuprl Lemma : ps-csm_dep_term_q_lemma
∀s,A,Delta,X:Top. ((tq)(s)dep ~ tq)
Proof
Definitions occuring in Statement :
pscm-dependent: (s)dep,
typed-psc-snd: tq,
pscm-ap-term: (t)s,
pscm-ap-type: (AF)s,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
pscm-ap-type: (AF)s,
typed-psc-snd: tq,
pscm-dependent: (s)dep,
pscm-ap-term: (t)s,
psc-snd: q,
typed-psc-fst: tp{i:l},
pscm-comp: G o F,
pscm-adjoin: (s;u),
pscm-ap: (s)x,
pi2: snd(t),
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
sqequalRule,
hypothesis,
introduction,
extract_by_obid
Latex:
\mforall{}s,A,Delta,X:Top. ((tq)(s)dep \msim{} tq)
Date html generated:
2018_05_23-AM-08_16_11
Last ObjectModification:
2018_05_20-PM-09_56_36
Theory : presheaf!models!of!type!theory
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