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Proof step 18 from proof congmod-def-mod (previous step)

i0 = i0 |%| j + j * j0, 0 < j ⊦ j = 0, ∃ i. j * j1 = j * i + j * j0

User applied rule exists right

And obtained the following new goals

Proof step 19:
i0 = i0 |%| j + j * j0, 0 < j ⊦ j = 0, j * j1 = j * (j1 - j0) + j * j0

Rule argument

pos: right 2 terms: j1 - j0 abort: F discard: T computed: F

Additional information

Used terms: j1 - j0