Nuprl Lemma : length-map-index
∀[f:Top]. ∀[L:Top List]. (||map-index(f;L)|| ~ ||L||)
Proof
Definitions occuring in Statement :
map-index: map-index(f;L),
length: ||as||,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
map-index: map-index(f;L),
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top
Lemmas referenced :
length-map-index_aux,
list_wf,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
sqequalAxiom,
because_Cache
Latex:
\mforall{}[f:Top]. \mforall{}[L:Top List]. (||map-index(f;L)|| \msim{} ||L||)
Date html generated:
2016_05_14-PM-03_13_00
Last ObjectModification:
2015_12_26-PM-01_46_37
Theory : list_1
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