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Proof step 17 from proof cast-mod-ls-most (previous step)

i→n(i) ≤ 1 + (i→n(i) - 1), 1 < i, 0 < i ⊦ 2 ^ (i - 1) + bits2int(true ' + mklist(false, i→n(i) - 1)) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ bits2int(true ' + bits) = ~ bits2uint(bitsinvert(true + bits) +1)
Proof step 19:
i→n(i) ≤ 1 + (i→n(i) - 1), 1 < i, 0 < i ⊦ 2 ^ (i - 1) + ~ bits2uint(bitsinvert(true + mklist(false, i→n(i) - 1)) +1) = 0

Rule argument

seq: ⊦ bits2int(true ' + bits) = ~ bits2uint(bitsinvert(true + bits) +1) subst: [bits] → [mklist(false, i→n(i) - 1)] rotate: F spec: int2bits inst: name: bits2int-neg

Additional information

Used terms: mklist(false, i→n(i) - 1)