Nuprl Lemma : real_term_value_mul_lemma
∀b,a,f:Top. (real_term_value(f;a (*) b) ~ real_term_value(f;a) * real_term_value(f;b))
Proof
Definitions occuring in Statement :
real_term_value: real_term_value(f;t),
rmul: a * b,
itermMultiply: left (*) right,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
real_term_value: real_term_value(f;t),
itermMultiply: left (*) right,
int_term_ind: int_term_ind,
all: ∀x:A. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
introduction,
extract_by_obid,
hypothesis
Latex:
\mforall{}b,a,f:Top. (real\_term\_value(f;a (*) b) \msim{} real\_term\_value(f;a) * real\_term\_value(f;b))
Date html generated:
2017_10_02-PM-07_18_03
Last ObjectModification:
2017_04_03-PM-08_37_59
Theory : reals
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