Nuprl Lemma : csm-cubical-type-ap-morph
∀[A,I,J,f,a,u,s:Top]. ((u a f) ~ (u (s)a f))
Proof
Definitions occuring in Statement :
csm-ap-type: (AF)s,
cubical-type-ap-morph: (u a f),
csm-ap: (s)x,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
cubical-type-ap-morph: (u a f),
presheaf-type-ap-morph: (u a f),
csm-ap-type: (AF)s,
pscm-ap-type: (AF)s,
csm-ap: (s)x,
pscm-ap: (s)x
Lemmas referenced :
pscm-presheaf-type-ap-morph
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[A,I,J,f,a,u,s:Top]. ((u a f) \msim{} (u (s)a f))
Date html generated:
2018_05_23-AM-08_45_11
Last ObjectModification:
2018_05_20-PM-05_55_22
Theory : cubical!type!theory
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