Nuprl Lemma : ring_term_value_add_lemma
∀r,b,a,f:Top. (ring_term_value(f;a (+) b) ~ ring_term_value(f;a) +r ring_term_value(f;b))
Proof
Definitions occuring in Statement :
ring_term_value: ring_term_value(f;t),
rng_plus: +r,
itermAdd: left (+) right,
top: Top,
infix_ap: x f y,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
member: t ∈ T,
all: ∀x:A. B[x],
int_term_ind: int_term_ind,
itermAdd: left (+) right,
ring_term_value: ring_term_value(f;t)
Lemmas referenced :
top_wf
Rules used in proof :
hypothesis,
extract_by_obid,
introduction,
cut,
lambdaFormation,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
\mforall{}r,b,a,f:Top. (ring\_term\_value(f;a (+) b) \msim{} ring\_term\_value(f;a) +r ring\_term\_value(f;b))
Date html generated:
2018_05_21-PM-03_15_28
Last ObjectModification:
2018_01_25-PM-02_16_42
Theory : rings_1
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