Nuprl Lemma : mapfilter-as-fast-mapfilter
∀[L,p,f:Top]. (mapfilter(f;p;L) ~ fast-mapfilter(p;f;L))
Proof
Definitions occuring in Statement :
fast-mapfilter: fast-mapfilter(p;f;L),
mapfilter: mapfilter(f;P;L),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
fast-mapfilter: fast-mapfilter(p;f;L),
so_apply: x[s]
Lemmas referenced :
mapfilter-as-reduce2,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
sqequalAxiom,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[L,p,f:Top]. (mapfilter(f;p;L) \msim{} fast-mapfilter(p;f;L))
Date html generated:
2016_05_15-PM-03_56_55
Last ObjectModification:
2015_12_27-PM-03_08_37
Theory : general
Home
Index