Nuprl Lemma : W_select_nil_lemma
∀w:Top. (W-select(w;[]) ~ inl w)
Proof
Definitions occuring in Statement :
W-select: W-select(w;s),
nil: [],
top: Top,
all: ∀x:A. B[x],
inl: inl x,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
W-select: W-select(w;s),
ifthenelse: if b then t else f fi ,
btrue: tt
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-select(w;[]) \msim{} inl w)
Date html generated:
2016_05_15-PM-10_06_37
Last ObjectModification:
2015_12_27-PM-05_50_21
Theory : bar!induction
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