Nuprl Lemma : int_prod0_lemma
∀f:Top. (Π(f[x] | x < 0) ~ 1)
Proof
Definitions occuring in Statement :
int-prod: Π(f[x] | x < k),
top: Top,
so_apply: x[s],
all: ∀x:A. B[x],
natural_number: $n,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
int-prod: Π(f[x] | x < k),
top: Top
Lemmas referenced :
top_wf,
primrec0_lemma
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality
Latex:
\mforall{}f:Top. (\mPi{}(f[x] | x < 0) \msim{} 1)
Date html generated:
2016_05_14-AM-07_33_53
Last ObjectModification:
2015_12_26-PM-01_23_40
Theory : int_2
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