Nuprl Lemma : presheaf_type_at_pair_lemma
∀a,I,B,A:Top. (<A, B>(a) ~ A I a)
Proof
Definitions occuring in Statement :
presheaf-type-at: A(a),
top: Top,
all: ∀x:A. B[x],
apply: f a,
pair: <a, b>,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
presheaf-type-at: A(a),
pi1: fst(t)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
introduction,
extract_by_obid,
sqequalRule
Latex:
\mforall{}a,I,B,A:Top. (<A, B>(a) \msim{} A I a)
Date html generated:
2018_05_22-PM-10_02_32
Last ObjectModification:
2018_05_20-PM-09_47_00
Theory : presheaf!models!of!type!theory
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