| 8 < #(uint2bits(i / 256) + fillsgn(9, uint2bits(i % 256)).rest), uint2bits(i) = uint2bits(i / 256) + fillsgn(9, uint2bits(i % 256)).rest, 255 < i, 0 < i, 0 ≤ i ⊦ bits2bytes(firstn(#(uint2bits(i / 256) + fillsgn(9, uint2bits(i % 256)).rest) - 8, uint2bits(i / 256) + fillsgn(9, uint2bits(i % 256)).rest)) + i2b(bits2int(lastn(8, uint2bits(i / 256) + fillsgn(9, uint2bits(i % 256)).rest))) = bits2bytes(uint2bits(i / 256)) + bits2bytes(int2bits(i % 256)).last ' |
uint2bits(i) = uint2bits(i / 256) + fillsgn(9, uint2bits(i % 256)).rest, 8 < # uint2bits(i / 256) + # fillsgn(9, uint2bits(i % 256)).rest, 0 ≤ i, 0 < i, 255 < i ⊦ bits2bytes(firstn(# uint2bits(i / 256) + # fillsgn(9, uint2bits(i % 256)).rest - 8, uint2bits(i))) + i2b(bits2int(lastn(8, uint2bits(i)))) ' = bits2bytes(uint2bits(i / 256)) + bits2bytes(int2bits(i % 256)).last '
Used simplifier rules: ⊦ m < n → n ≠ 0;% ⊦ m < n → n ≠ 0; (forward)% ⊦ bytes + by = bytes + by ';% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ #(bits + bits0) = # bits + # bits0;