Nuprl Lemma : psc-fst-pscm-adjoin-sq
∀[Gamma,Delta,X,sigma,u:Top]. (p o (sigma;u) ~ sigma o 1(Delta))
Proof
Definitions occuring in Statement :
pscm-adjoin: (s;u),
psc-fst: p,
pscm-id: 1(X),
pscm-comp: G o F,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
pscm-id: 1(X),
pscm-comp: G o F,
psc-fst: p,
pscm-adjoin: (s;u),
compose: f o g,
pscm-ap: (s)x,
pi1: fst(t)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
sqequalAxiom,
sqequalRule,
because_Cache,
cut,
extract_by_obid,
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_13_14
Last ObjectModification:
2018_05_20-PM-09_52_22
Theory : presheaf!models!of!type!theory
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