Nuprl Lemma : list_at_nil2_lemma
∀L:Top. (L@[] ~ [])
Proof
Definitions occuring in Statement :
list-at: L1@L2,
nil: [],
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
list-at: L1@L2,
ifthenelse: if b then t else f fi ,
btrue: tt
Lemmas referenced :
istype-top,
null_nil_lemma,
reduce_tl_nil_lemma
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :lambdaFormation_alt,
cut,
hypothesis,
introduction,
extract_by_obid,
sqequalRule
Latex:
\mforall{}L:Top. (L@[] \msim{} [])
Date html generated:
2019_06_20-PM-01_20_59
Last ObjectModification:
2018_12_04-AM-11_43_55
Theory : list_1
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