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Proof step 26 from proof bib-neg-low (previous step)

j < ~1, j < 0, ~256 ≤ j, j < ~128, ~129 < j ⊦ b2i(i2b(256 + j)) = 256 + j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 27:
⊦ i < j ↔ i +1 = j ∨ i +1 < j

Rule argument

seq: ⊦ i < j ↔ i +1 = j ∨ i +1 < j subst: [j, i] → [j, ~129] rotate: F spec: int-basic1 inst: name: lsrec

Additional information

Used simplifier rules: num-i2b-pos: 127 < i ⊦ i2b((* i)) = i2b(bits2int(lastn(8, int2bits(i))));%num-ibbi: ~128 ≤ i, i ≤ 127 ⊦ b2i(i2b((* i))) = i;% ⊦ i < j → ¬ j < i;%0 ≤ i ⊦ int2bits((* i)) = uint2bits(i);%1 < i ⊦ uint2bits((* i)) = uint2bits(i / 2) + (i % 2 = 1);% ⊦ uint2bits(1) = false + true;% ⊦ boolvar + boolvar0 = boolvar ' + boolvar0 ';% ⊦ bits + boolvar = bits + boolvar ';%0 < n ⊦ lastn((* n), bits + boolvar ') = lastn(n -1, bits) + boolvar ';% ⊦ lastn(0, bits) = [];% ⊦ [] + bits = bits;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bits2int(true ' + bits) = ~ bits2uint(bitsinvert(true + bits) +1);% ⊦ boolvar + bits = boolvar ' + bits;% ⊦ bitsinvert(true ' + bits) = false + bitsinvert(bits);% ⊦ bitsinvert(false ' + bits) = true + bitsinvert(bits);% ⊦ bitsinvert(false ') = true ';% ⊦ (bits + true ')+1 = bits +1 + false;% ⊦ false ' +1 = true ';% ⊦ bits2uint(bits + false ') = bits2uint(bits) * 2;% ⊦ bits2uint(true ') = 1; Used terms: j, ~129