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Proof step 6 from proof int2int-rest-01 (previous step)

int2bits(j) = true ' + false ' + bits, j < 0, j < ~1 ⊦ bits2int((true ' + false ' + bits).rest) = j + 2 ^ (n→i(#(true ' + false ' + bits)) - 1), j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ (boolvar ' + bits).rest = bits
Proof step 8:
int2bits(j) = true ' + false ' + bits, j < 0, j < ~1 ⊦ bits2int(false ' + bits) = j + 2 ^ (n→i(#(true ' + false ' + bits)) - 1), j = 0

Rule argument

seq: ⊦ (boolvar ' + bits).rest = bits subst: [bits, boolvar] → [false ' + bits, true] rotate: F spec: list inst: bitlista name: c-07

Additional information

Used terms: false ' + bits, true