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Proof step 15 from proof mod-add-law (previous step)

(i - j * j0) + (i0 - j * j1) = (i + i0) + (~ j0 - j1) * j, i - j * j0 = i |%| j, i0 - j * j1 = i0 |%| j, 0 < j ⊦ (i + i0) |%| j = ((i - j * j0) + (i0 - j * j1)) |%| j, j = 0

User applied rule insert equation

And obtained the following new goals

Rule argument

pos: left 1 flags: discard

Additional information