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Proof step 25 from proof cast-mod-neg-high (previous step)

j % 2 = ~1, j < ~1, 1 ≤ # int2bits((j - 1) / 2) + # int2bits(~1), j < 0 ⊦ # int2bits((j - 1) / 2) + # int2bits(~1) = 0, j = ~1, bits2int(int2bits(~1).last ') = ~1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 26:
⊦ i + 1 = 0 → int2bits(i) = true '

Rule argument

seq: ⊦ i + 1 = 0 → int2bits(i) = true ' subst: [i] → [~1] rotate: F spec: int2bits inst: name: int2bits-mone

Additional information

Used simplifier rules: ⊦ # boolvar ' = 0 +1;% ⊦ m + 1 ≠ 0;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m;% ⊦ boolvar '.last ↔ boolvar;% ⊦ bits2int(true ') = ~1; Used terms: ~1