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Proof step 11 from proof short-law-compl (previous step)

⊦ i2s(cast(16, ~ cast(16, i + 1))) = i2s(cast(16, ~(cast(16, i) + 1)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
0 < i ⊦ cast(i, j + j0) = cast(i, cast(i, j) + j0)
Proof step 13:
0 < 16 ⊦ i2s(cast(16, ~ cast(16, cast(16, i) + 1))) = i2s(cast(16, ~(cast(16, i) + 1)))

Rule argument

seq: 0 < i ⊦ cast(i, j + j0) = cast(i, cast(i, j) + j0) subst: [j0, j, i] → [1, i, 16] rotate: F spec: intops inst: name: cast-law-add-one

Additional information

Used terms: 1, i, 16