Nuprl Lemma : Legendre_0_lemma
∀x:Top. (Legendre(0;x) ~ r1)
Proof
Definitions occuring in Statement :
Legendre: Legendre(n;x),
int-to-real: r(n),
top: Top,
all: ∀x:A. B[x],
natural_number: $n,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
Legendre: Legendre(n;x),
eq_int: (i =z j),
subtract: n - m,
ifthenelse: if b then t else f fi ,
btrue: tt
Lemmas referenced :
istype-top
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation_alt,
cut,
hypothesis,
introduction,
extract_by_obid,
sqequalRule
Latex:
\mforall{}x:Top. (Legendre(0;x) \msim{} r1)
Date html generated:
2019_10_30-AM-11_32_50
Last ObjectModification:
2019_01_01-PM-03_53_44
Theory : reals_2
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