Nuprl Lemma : length-int-vec-mul
∀[a,as:Top]. (||a * as|| ~ ||as||)
Proof
Definitions occuring in Statement :
int-vec-mul: a * as,
length: ||as||,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
int-vec-mul: a * as,
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top
Lemmas referenced :
map-length,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesisEquality,
hypothesis,
sqequalAxiom,
because_Cache
Latex:
\mforall{}[a,as:Top]. (||a * as|| \msim{} ||as||)
Date html generated:
2016_05_14-AM-06_56_31
Last ObjectModification:
2015_12_26-PM-01_14_46
Theory : omega
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