Nuprl Lemma : pscm-ap-context-map
∀[I,J,a,rho,G:Top]. ((<rho>)a ~ a(rho))
Proof
Definitions occuring in Statement :
pscm-ap: (s)x,
ps-context-map: <rho>,
psc-restriction: f(s),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
ps-context-map: <rho>,
pscm-ap: (s)x,
functor-arrow: arrow(F),
psc-restriction: f(s),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[I,J,a,rho,G:Top]. ((<rho>)a \msim{} a(rho))
Date html generated:
2018_05_22-PM-10_00_12
Last ObjectModification:
2018_05_20-PM-09_43_26
Theory : presheaf!models!of!type!theory
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