Nuprl Lemma : ps-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 :
pscm-dependent: (s)dep,
typed-psc-fst: tp{i:l},
pscm-ap-type: (AF)s,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
typed-psc-fst: tp{i:l},
all: ∀x:A. B[x],
member: t ∈ T
Lemmas referenced :
ps-csm_dep_p_rewrite_lemma,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
hypothesisEquality,
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_16_04
Last ObjectModification:
2018_05_20-PM-09_56_21
Theory : presheaf!models!of!type!theory
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