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Proof step 2 from proof cast-cast (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
0 < i, i ≤ i0 ⊦ cast(i, cast(i0, j)) = cast(i, j)

Rule argument

name: cast-law-absorption rotate: F subst: [j, i0, i] → [j, i, i]

Additional information

Used simplifier rules: ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ ¬ i < i; Used terms: j, i, i