Nuprl Lemma : pscm-presheaf-fst
∀[p,s:Top]. ((p.1)s ~ (p)s.1)
Proof
Definitions occuring in Statement :
presheaf-fst: p.1,
pscm-ap-term: (t)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
pscm-ap-term: (t)s,
pscm-ap: (s)x,
presheaf-fst: p.1,
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{}[p,s:Top]. ((p.1)s \msim{} (p)s.1)
Date html generated:
2018_05_23-AM-08_19_59
Last ObjectModification:
2018_05_20-PM-10_00_41
Theory : presheaf!models!of!type!theory
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