Nuprl Lemma : co_w_select_nil_lemma
∀w:Top. (w@[] ~ w)
Proof
Definitions occuring in Statement :
co-w-select: w@s,
nil: [],
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
co-w-select: w@s,
btrue: tt,
bor: p ∨bq,
ifthenelse: if b then t else f fi
Lemmas referenced :
top_wf,
null_nil_lemma,
reduce_tl_nil_lemma
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}w:Top. (w@[] \msim{} w)
Date html generated:
2016_05_15-PM-10_05_44
Last ObjectModification:
2015_12_27-PM-05_50_36
Theory : bar!induction
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