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Proof step 4 from proof long-automatic-03 (previous step)

⊦ i2l(bits2int(lastn(64, int2bits(85070591730234615847396907784232501249)))) = i2l(1)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int2bits inst: name: int2bits-pos seq: ⊦ 0 ≤ i → int2bits(i) = uint2bits(i) subst: [i] → [85070591730234615847396907784232501249] flags: rewrite

Additional information

Used simplifier rules: 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(1, bits) = bits.last ';% ⊦ (boolvar ' + boolvar0 ' + bits).last ↔ (boolvar0 ' + bits).last;% ⊦ (bits + boolvar ').last ↔ boolvar;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bits2int(false ' + bits) = bits2uint(bits);% ⊦ bits2uint(bits + true ') = bits2uint(bits) * 2 + 1;% ⊦ bits2uint(bits + false ') = bits2uint(bits) * 2;% ⊦ bits2uint(false ') = 0; Used terms: 85070591730234615847396907784232501249