Nuprl Lemma : csm_dep_typed_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-type: (AF)s
, 
top: Top
, 
all: ∀x:A. B[x]
, 
sqequal: s ~ t
Definitions unfolded in proof : 
csm-ap-type: (AF)s
, 
pscm-ap-type: (AF)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 : 
ps-csm_dep_typed_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_17
Last ObjectModification:
2018_05_20-PM-06_03_48
Theory : cubical!type!theory
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