Nuprl Lemma : mapfilter_nil_lemma
∀P,f:Top. (mapfilter(f;P;[]) ~ [])
Proof
Definitions occuring in Statement :
mapfilter: mapfilter(f;P;L),
nil: [],
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
mapfilter: mapfilter(f;P;L),
top: Top
Lemmas referenced :
top_wf,
filter_nil_lemma,
map_nil_lemma
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality
Latex:
\mforall{}P,f:Top. (mapfilter(f;P;[]) \msim{} [])
Date html generated:
2016_05_14-AM-07_50_10
Last ObjectModification:
2015_12_26-PM-04_45_48
Theory : list_1
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