Nuprl Lemma : constant-presheaf-type-at
∀[X,I,a:Top]. ((X)(a) ~ X(I))
Proof
Definitions occuring in Statement :
constant-presheaf-type: (X),
presheaf-type-at: A(a),
I_set: A(I),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
constant-presheaf-type: (X),
presheaf-type-at: A(a),
pi1: fst(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{}[X,I,a:Top]. ((X)(a) \msim{} X(I))
Date html generated:
2018_05_23-AM-08_25_21
Last ObjectModification:
2018_05_20-PM-10_06_35
Theory : presheaf!models!of!type!theory
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