Step
*
of Lemma
imonomial-term-add-req
∀vs:ℤ List. ∀a,b:ℤ-o. ∀f:ℤ ⟶ ℝ. ((real_term_value(f;imonomial-term(<a, vs>)) + real_term_value(f;imonomial-term(<b, vs\000C>))) = real_term_value(f;imonomial-term(<a + b, vs>)))
BY
{ ((Auto THEN RWO "imonomial-term-linear-req" 0 THEN Auto) THEN RWW "rmul-distrib.2< radd-int" 0 THEN Auto) }
Latex:
Latex:
\mforall{}vs:\mBbbZ{} List. \mforall{}a,b:\mBbbZ{}\msupminus{}\msupzero{}. \mforall{}f:\mBbbZ{} {}\mrightarrow{} \mBbbR{}.
((real\_term\_value(f;imonomial-term(<a, vs>)) + real\_term\_value(f;imonomial-term(<b, vs>))) = real\_\000Cterm\_value(f;imonomial-term(<a + b, vs>)))
By
Latex:
((Auto THEN RWO "imonomial-term-linear-req" 0 THEN Auto)
THEN RWW "rmul-distrib.2< radd-int" 0
THEN Auto)
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