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Step * 1 1 of Lemma linearization-value


1. p : iPolynomial()
2. no_repeats(ℤ List;[])
3. f : ℤ ⟶ ℤ
⊢ int_term_value(f;ipolynomial-term(filter(λm.ff;p))) = linearization(p;[]) ⋅ [] ∈ ℤ
BY
{ TACTIC:(Subst' filter(λm.ff;p) ~ [] 0 THENA Auto) }

1
1. p : iPolynomial()
2. no_repeats(ℤ List;[])
3. f : ℤ ⟶ ℤ
⊢ int_term_value(f;ipolynomial-term([])) = linearization(p;[]) ⋅ [] ∈ ℤ

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Latex:

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Latex:

1.  p  :  iPolynomial()
2.  no\_repeats(\mBbbZ{}  List;[])
3.  f  :  \mBbbZ{}  {}\mrightarrow{}  \mBbbZ{}
\mvdash{}  int\_term\_value(f;ipolynomial-term(filter(\mlambda{}m.ff;p)))  =  linearization(p;[])  \mcdot{}  []


By

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Latex:
TACTIC:(Subst'  filter(\mlambda{}m.ff;p)  \msim{}  []  0  THENA  Auto)

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