Nuprl Lemma : ps-csm_ap_term_fst_adjoin_lemma
∀zz,yy,xx:Top. (((zz)p)(xx;yy) ~ (zz)xx)
Proof
Definitions occuring in Statement :
pscm-adjoin: (s;u),
psc-fst: p,
pscm-ap-term: (t)s,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
pscm-ap-term: (t)s,
psc-fst: p,
pscm-adjoin: (s;u),
pscm-ap: (s)x,
pi1: fst(t)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
introduction,
extract_by_obid,
sqequalRule
Latex:
\mforall{}zz,yy,xx:Top. (((zz)p)(xx;yy) \msim{} (zz)xx)
Date html generated:
2018_05_23-AM-08_13_57
Last ObjectModification:
2018_05_20-PM-09_53_09
Theory : presheaf!models!of!type!theory
Home
Index