Nuprl Lemma : len-length
∀[as:Top List]. (||as|| ~ len(as))
Proof
Definitions occuring in Statement :
len: len(as),
length: ||as||,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
len: len(as),
length: ||as||,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
list_wf,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis
Latex:
\mforall{}[as:Top List]. (||as|| \msim{} len(as))
Date html generated:
2016_05_14-AM-07_41_07
Last ObjectModification:
2015_12_26-PM-02_51_11
Theory : list_1
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