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Proof step 2 from proof cast-neg-add-01 (previous step)

0 < i ⊦ cast(i, cast(i, ~ j) + j0) = cast(i, j0 - cast(i, j))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 < i → cast(i, cast(i, ~ j) + j0) = cast(i, ~ j + j0)
Proof step 4:
0 < i, 0 < i ⊦ cast(i, ~ j + j0) = cast(i, j0 - cast(i, j))

Rule argument

name: cast-neg-add rotate: F subst: [j0, j, i] → [j0, j, i]

Additional information

Used terms: j0, j, i