Nuprl Lemma : Yoneda-restriction
∀[C,I,f,s,A,B:Top]. (f(s) ~ cat-comp(C) B A I f s)
Proof
Definitions occuring in Statement :
Yoneda: Yoneda(I),
psc-restriction: f(s),
cat-comp: cat-comp(C),
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
Yoneda: Yoneda(I),
psc-restriction: f(s),
pi2: snd(t),
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{}[C,I,f,s,A,B:Top]. (f(s) \msim{} cat-comp(C) B A I f s)
Date html generated:
2018_05_22-PM-09_59_30
Last ObjectModification:
2018_05_20-PM-09_42_22
Theory : presheaf!models!of!type!theory
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