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Proof step 16 from proof int2int-rest-01 (previous step)

int2bits(j) = true ' + false ' + bits, 2 ^ n→i(#(true ' + false ' + bits)) + j = bits2uint(bits) + 2 ^ (1 + n→i(# bits)), j < 0, j < ~1 ⊦ j = 0, bits2uint(bits) = 2 ^ (1 + n→i(# bits)) + j

User applied rule simplifier

And obtained the following new goals

Proof step 17:
int2bits(j) = true ' + false ' + bits, 2 ^ (2 + n→i(# bits)) + j = bits2uint(bits) + 2 ^ (1 + n→i(# bits)), j < 0, j < ~1 ⊦ j = 0, bits2uint(bits) = 2 ^ (1 + n→i(# bits)) + j

Rule argument

Additional information

Used simplifier rules: ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ n→i(m + n) = n→i(m) + n→i(n);% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ # boolvar ' = 0 +1;% ⊦ #(bits + bits0) = # bits + # bits0;