Nuprl Lemma : cat_ob_pair_lemma
∀y,x:Top. (cat-ob(<x, y>) ~ x)
Proof
Definitions occuring in Statement :
cat-ob: cat-ob(C),
top: Top,
all: ∀x:A. B[x],
pair: <a, b>,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
cat-ob: cat-ob(C),
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{}y,x:Top. (cat-ob(<x, y>) \msim{} x)
Date html generated:
2020_05_20-AM-07_49_28
Last ObjectModification:
2017_01_09-PM-00_37_27
Theory : small!categories
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