Nuprl Lemma : cc-fst-csm-adjoin-sq
∀[Gamma,Delta,X,sigma,u:Top]. (p o (sigma;u) ~ sigma o 1(Delta))
Proof
Definitions occuring in Statement :
csm-adjoin: (s;u),
cc-fst: p,
csm-id: 1(X),
csm-comp: G o F,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
csm-comp: G o F,
pscm-comp: G o F,
cc-fst: p,
psc-fst: p,
csm-adjoin: (s;u),
pscm-adjoin: (s;u),
csm-ap: (s)x,
pscm-ap: (s)x,
csm-id: 1(X),
pscm-id: 1(X)
Lemmas referenced :
psc-fst-pscm-adjoin-sq
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[Gamma,Delta,X,sigma,u:Top]. (p o (sigma;u) \msim{} sigma o 1(Delta))
Date html generated:
2018_05_23-AM-08_50_46
Last ObjectModification:
2018_05_20-PM-06_00_00
Theory : cubical!type!theory
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