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Proof step 12 from proof mod-add-law (previous step)

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

User applied rule insert equation

And obtained the following new goals

Proof step 13:
i - j * j0 = i |%| j, i0 - j * j1 = i0 |%| j, 0 < j ⊦ (i + i0) |%| j = ((i - j * j0) + i0 |%| j) |%| j, j = 0

Rule argument

pos: left 1 flags: rotate

Additional information