Nuprl Lemma : csm-dep_term_p_lemma
∀t,s,A,Delta,X:Top. (((t)tp{i:l})(s)dep ~ ((t)s)tp{i:l})
Proof
Definitions occuring in Statement :
csm-dependent: (s)dep,
typed-cc-fst: tp{i:l},
csm-ap-term: (t)s,
csm-ap-type: (AF)s,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
csm-ap-term: (t)s,
pscm-ap-term: (t)s,
csm-ap: (s)x,
pscm-ap: (s)x,
typed-cc-fst: tp{i:l},
typed-psc-fst: tp{i:l},
cc-fst: p,
psc-fst: p,
csm-dependent: (s)dep,
pscm-dependent: (s)dep,
csm-adjoin: (s;u),
pscm-adjoin: (s;u),
csm-comp: G o F,
pscm-comp: G o F,
typed-cc-snd: tq,
typed-psc-snd: tq,
cc-snd: q,
psc-snd: q
Lemmas referenced :
pscm-dep_term_p_lemma
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}t,s,A,Delta,X:Top. (((t)tp\{i:l\})(s)dep \msim{} ((t)s)tp\{i:l\})
Date html generated:
2018_05_23-AM-08_55_24
Last ObjectModification:
2018_05_20-PM-06_03_58
Theory : cubical!type!theory
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