Nuprl Lemma : pscm-discrete-presheaf-type
∀[T,s:Top]. ((discr(T))s ~ discr(T))
Proof
Definitions occuring in Statement :
discrete-presheaf-type: discr(T),
pscm-ap-type: (AF)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
discrete-presheaf-type: discr(T),
pscm-ap-type: (AF)s
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesis,
sqequalAxiom,
extract_by_obid,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[T,s:Top]. ((discr(T))s \msim{} discr(T))
Date html generated:
2018_05_23-AM-08_24_02
Last ObjectModification:
2018_05_20-PM-10_04_43
Theory : presheaf!models!of!type!theory
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