Nuprl Lemma : select0
∀[L:Top]. (L[0] ~ hd(L))
Proof
Definitions occuring in Statement :
select: L[n],
hd: hd(l),
uall: ∀[x:A]. B[x],
top: Top,
natural_number: $n,
sqequal: s ~ t
Definitions unfolded in proof :
select: L[n],
hd: hd(l),
pi1: fst(t),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
lemma_by_obid,
hypothesis
Latex:
\mforall{}[L:Top]. (L[0] \msim{} hd(L))
Date html generated:
2016_05_14-AM-06_35_49
Last ObjectModification:
2015_12_26-PM-00_34_34
Theory : list_0
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