Nuprl Lemma : csm_ap_term_fst_adjoin_lemma
∀zz,yy,xx:Top. (((zz)p)(xx;yy) ~ (zz)xx)
Proof
Definitions occuring in Statement :
csm-adjoin: (s;u),
cc-fst: p,
csm-ap-term: (t)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,
cc-fst: p,
psc-fst: p,
csm-adjoin: (s;u),
pscm-adjoin: (s;u)
Lemmas referenced :
ps-csm_ap_term_fst_adjoin_lemma
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}zz,yy,xx:Top. (((zz)p)(xx;yy) \msim{} (zz)xx)
Date html generated:
2018_05_23-AM-08_52_24
Last ObjectModification:
2018_05_20-PM-06_01_26
Theory : cubical!type!theory
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