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Proof step 4 from proof cast-size-fits (previous step)

¬(0 < i ∧ ~(2 ^ (i - 1)) ≤ j ∧ j < 2 ^ (i - 1)), n→i(# int2bits(j)) ≤ i ⊦ cast(i, j) = j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
n→i(# int2bits(j)) ≤ i, 0 < i ⊦ cast(i, j) = j, ¬ 2 ^ (i - 1) ≤ j ∧ ¬ 2 ^ (i - 1) + j < 0

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ int2bits(j) ≠ [];% ⊦ # bits = 0 ↔ bits = [];% ⊦ n→i(n) ≤ 0 ↔ n = 0;% ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward)% ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward)% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ ~ i ≤ j ↔ 0 ≤ i + j;% ⊦ ¬ i < j ↔ j ≤ i;