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Proof step 37 from proof div-def-01 (previous step)

rational(abs(i0), j0) = 0r, ~ rational(i, j) / 0r = ~ rational(i * j0, j * abs(i0)), 0 < j, 0 < j0, i < 0 ⊦ i = 0, rational(i, j) / rational(i0, j0) = rational(i * j0, j * i0), i0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 38:
⊦ 0r = rational(0, 1)
Proof step 39:
rational(abs(i0), j0) = rational(0, 1), ~ rational(i, j) / rational(0, 1) = ~ rational(i * j0, j * abs(i0)), 0 < j, 0 < j0, i < 0 ⊦ i = 0, rational(i, j) / rational(i0, j0) = rational(i * j0, j * i0), i0 = 0

Rule argument

name: zero-def rotate: F subst:

Additional information

Used terms: