Nuprl Lemma : ps-canonical-section-at
∀[Gamma,A,I,rho,a,J,x:Top]. (ps-canonical-section(Gamma;A;I;rho;a)(x) ~ (a rho x))
Proof
Definitions occuring in Statement :
ps-canonical-section: ps-canonical-section(Gamma;A;I;rho;a),
presheaf-term-at: u(a),
presheaf-type-ap-morph: (u a f),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
presheaf-term-at: u(a),
ps-canonical-section: ps-canonical-section(Gamma;A;I;rho;a),
presheaf-type-ap-morph: (u a f),
pi2: snd(t)
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{}[Gamma,A,I,rho,a,J,x:Top]. (ps-canonical-section(Gamma;A;I;rho;a)(x) \msim{} (a rho x))
Date html generated:
2018_05_22-PM-10_04_22
Last ObjectModification:
2018_05_20-PM-09_48_42
Theory : presheaf!models!of!type!theory
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