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Proof step 1 from proof cast-law-neg (conclusion)

0 < i ⊦ cast(i, ~ j) = cast(i, ~ cast(i, j))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 0 ≤ j ∧ 0 < i → cast(i, ~ j) = cast(i, ~ cast(i, j))
Proof step 3:
¬(0 ≤ j ∧ 0 < i), 0 < i ⊦ cast(i, ~ j) = cast(i, ~ cast(i, j))

Rule argument

name: cast-law-neg-pos rotate: F subst: [j, i] → [j, i]

Additional information

Used terms: j, i