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At: div 2 to 1 1 1 1 1

1. a: {...0}
2. b:
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:

13. 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)


About:
intnatural_numberminusaddmultiplydivideremainderless_thanequal

(10steps) PrintForm Definitions Lemmas int 2 Sections StandardLIB Doc