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At: rem addition 1 1 1 1

1. i:
2. j:
3. n:

(((i rem n)+(j rem n)) rem n) = (((i rem n)+(j rem n)+((i n)+(j n))n) rem n)

By: RWH (LemmaC Thm* a,b:, n:. ((a+bn) rem n) = (a rem n)) 0

Generated subgoals:

1 0(i rem n)+(j rem n)
2 0(i n)+(j n)
3 (((i rem n)+(j rem n)) rem n) = (((i rem n)+(j rem n)) rem n)


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intnatural_numberaddmultiplydivideremainderequal

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