Nuprl Lemma : csm-cubical-pair
∀[u,v,s:Top]. ((cubical-pair(u;v))s ~ cubical-pair((u)s;(v)s))
Proof
Definitions occuring in Statement :
cubical-pair: cubical-pair(u;v),
csm-ap-term: (t)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
csm-ap-term: (t)s,
pscm-ap-term: (t)s,
cubical-pair: cubical-pair(u;v),
presheaf-pair: presheaf-pair(u;v),
csm-ap: (s)x,
pscm-ap: (s)x
Lemmas referenced :
pscm-presheaf-pair
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[u,v,s:Top]. ((cubical-pair(u;v))s \msim{} cubical-pair((u)s;(v)s))
Date html generated:
2018_05_23-AM-09_00_52
Last ObjectModification:
2018_05_20-PM-06_08_47
Theory : cubical!type!theory
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