Nuprl Lemma : length-map-sq
∀[f:Top]. ∀[L:Top List]. (||map(f;L)|| ~ ||L||)
Proof
Definitions occuring in Statement :
length: ||as||,
map: map(f;as),
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
length-map,
top_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
sqequalAxiom,
sqequalRule,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[f:Top]. \mforall{}[L:Top List]. (||map(f;L)|| \msim{} ||L||)
Date html generated:
2016_05_14-AM-06_34_18
Last ObjectModification:
2015_12_26-PM-00_35_53
Theory : list_0
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