Nuprl Lemma : p-csm+-type
∀[H,K,A,B,tau:Top]. (((A)p)tau+ ~ ((A)tau)p)
Proof
Definitions occuring in Statement :
csm+: tau+,
cc-fst: p,
csm-ap-type: (AF)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
csm-ap-type: (AF)s,
pscm-ap-type: (AF)s,
csm-ap: (s)x,
pscm-ap: (s)x,
cc-fst: p,
psc-fst: p,
csm+: tau+,
pscm+: tau+,
csm-adjoin: (s;u),
pscm-adjoin: (s;u),
csm-comp: G o F,
pscm-comp: G o F,
cc-snd: q,
psc-snd: q
Lemmas referenced :
p-pscm+-type
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[H,K,A,B,tau:Top]. (((A)p)tau+ \msim{} ((A)tau)p)
Date html generated:
2018_05_23-AM-08_52_54
Last ObjectModification:
2018_05_20-PM-06_01_54
Theory : cubical!type!theory
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