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Proof step 2 from proof cast-b2i-01 (previous step)

8 ≤ i, 0 < i, 0 ≤ i ⊦ cast(i, b2i(by)) = b2i(by)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
0 < i ⊦ ~(2 ^ (i - 1)) ≤ j ∧ j < 2 ^ (i - 1) → cast(i, j) = j
Proof step 4:
¬(0 < i ∧ ~(2 ^ (i - 1)) ≤ b2i(by) ∧ b2i(by) < 2 ^ (i - 1)), 8 ≤ i, 0 < i, 0 ≤ i ⊦ cast(i, b2i(by)) = b2i(by)

Rule argument

seq: 0 < i ⊦ ~(2 ^ (i - 1)) ≤ j ∧ j < 2 ^ (i - 1) → cast(i, j) = j subst: [j, i] → [b2i(by), i] rotate: F spec: intops inst: name: cast-size-fits-01

Additional information

Used terms: b2i(by), i