Nuprl Lemma : presheaf-fst-at
∀[a,I,p:Top]. (p.1(a) ~ fst(p(a)))
Proof
Definitions occuring in Statement :
presheaf-fst: p.1,
presheaf-term-at: u(a),
uall: ∀[x:A]. B[x],
top: Top,
pi1: fst(t),
sqequal: s ~ t
Definitions unfolded in proof :
presheaf-term-at: u(a),
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{}[a,I,p:Top]. (p.1(a) \msim{} fst(p(a)))
Date html generated:
2018_05_23-AM-08_20_25
Last ObjectModification:
2018_05_20-PM-10_01_03
Theory : presheaf!models!of!type!theory
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