Nuprl Lemma : csm-cubical-fst
∀[p,s:Top]. ((p.1)s ~ (p)s.1)
Proof
Definitions occuring in Statement :
cubical-fst: p.1,
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-fst: p.1,
presheaf-fst: p.1,
csm-ap: (s)x,
pscm-ap: (s)x
Lemmas referenced :
pscm-presheaf-fst
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[p,s:Top]. ((p.1)s \msim{} (p)s.1)
Date html generated:
2018_05_23-AM-08_59_48
Last ObjectModification:
2018_05_20-PM-06_07_52
Theory : cubical!type!theory
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