Step
*
4
of Lemma
real_term_polynomial
1. left : int_term()
2. right : int_term()
3. ipolynomial-term(int_term_to_ipoly(left)) ≡ left
4. ipolynomial-term(int_term_to_ipoly(right)) ≡ right
⊢ ipolynomial-term(add_ipoly(int_term_to_ipoly(left);minus-poly(int_term_to_ipoly(right)))) ≡ left (-) right
BY
{ (RWW "add_ipoly-sq add-ipoly-req minus-poly-req 3 4" 0 THENA Auto) }
1
1. left : int_term()
2. right : int_term()
3. ipolynomial-term(int_term_to_ipoly(left)) ≡ left
4. ipolynomial-term(int_term_to_ipoly(right)) ≡ right
⊢ left (+) "-"right ≡ left (-) right
Latex:
Latex:
1.  left  :  int\_term()
2.  right  :  int\_term()
3.  ipolynomial-term(int\_term\_to\_ipoly(left))  \mequiv{}  left
4.  ipolynomial-term(int\_term\_to\_ipoly(right))  \mequiv{}  right
\mvdash{}  ipolynomial-term(add\_ipoly(int\_term\_to\_ipoly(left);minus-poly(int\_term\_to\_ipoly(right))))  \mequiv{}  left 
(-)  right
By
Latex:
(RWW  "add\_ipoly-sq  add-ipoly-req  minus-poly-req  3  4"  0  THENA  Auto)
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