Nuprl - Pf div_3_to

(11steps) PrintForm Definitions Lemmas int 2 Sections StandardLIB Doc

1. a: {...0}
2. b: {...-1}
3. 0((-a) rem -b)
4. ((-a) rem -b) < -b
5. 0(a rem b)
6. (a rem b) > b
7. -a+b((-a) (-b)) = ((-a) rem -b)
8. a+-b(a b) = (a rem b)

(a b) = ((-a) (-b))

By: RevHypSubst 7 3 THEN RevHypSubst 7 4 THEN RevHypSubst 8 5 THEN RevHypSubst 8 6 THEN OnHyps [8;7] Thin

Generated subgoal:

1 3. 0-a+b((-a) (-b))
4. -a+b((-a) (-b)) < -b
5. 0a+-b(a b)
6. a+-b(a b) > b
(a b) = ((-a) (-b))

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(11steps) PrintForm Definitions Lemmas int 2 Sections StandardLIB Doc