Nuprl - Pf div_4_to

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

1. a:
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. 0a+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