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At: mod mod

x:, n:. ((x mod n) mod n) = (x mod n)

By:
Auto
THEN
Inst Thm* a:, n:. a = (a n)n+(a mod n) & (a mod n) < n [x;n]
THEN
Inst Thm* a:, n:, q:, r:. a = qn+r r < n q = (a n) & r = (a mod n) [x mod n;n;0;x mod n]


Generated subgoals:

None

About:
intnatural_numberaddmultiplyless_thanequalimpliesandall

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