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Proof step 2 from proof uint2bits-first-05 (previous step)

uint2bits(~ j) = true ' + bits, j < 0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 ≤ i → uint2bits(i) ≠ true ' + bits

Rule argument

name: uint2bits-first-01 rotate: F subst: [bits, i] → [bits, ~ j]

Additional information

Used simplifier rules: ⊦ i ≤ ~ j ↔ i + j ≤ 0;% ⊦ i + 0 = i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j → ¬ j < i; Used terms: bits, ~ j