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Proof step 22 from proof short-law-righthift-not (previous step)

(true ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' ).first ∧ true ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' ≠ [] ⊦ ( i = 32768 ∧ j = 1 → i2s(16384) ≠ i2s (~ bits2uint (bitsinvert ( true ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ') +1))) ∧ ( i = 32768 ∧ j = 1 → i2s (bits2int (sublist (0, # fillsgn (32, ( ( ( ( ( ( (((((((((false ' + true ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false '), false ' + fillsgn (32, ( ( ( ( ( ( (((((((((false ' + true ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ')))) ≠ i2s (bits2int (sublist (0, # fillsgn (32, true ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false '), false ' + fillsgn (32, true ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ')))))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
i2s (bits2int (sublist (0, # fillsgn (32, ( ( ( ( ( ((((((((((false ' + true ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false '), false ' + fillsgn (32, ( ( ( ( ( ((((((((((false ' + true ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ') + false ')))) = i2s (bits2int (sublist (0, # fillsgn (32, true ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false '), false ' + fillsgn (32, true ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ')))) ⊦

Rule argument

Additional information

Used simplifier rules: notequal-01: ~32768 ≤ i, i ≤ 32767, ~32768 ≤ j, j ≤ 32767, i ≠ j ⊦ i2s((* i)) ≠ i2s((* j));% ⊦ bits2uint(true ') = 1;% ⊦ bits2uint(bits + false ') = bits2uint(bits) * 2;% ⊦ bits + boolvar = bits + boolvar ';% ⊦ false ' +1 = true ';% ⊦ (bits + true ')+1 = bits +1 + false;% ⊦ boolvar + bits = boolvar ' + bits;% ⊦ bitsinvert(false ') = true ';% ⊦ bitsinvert(false ' + bits) = true + bitsinvert(bits);% ⊦ bitsinvert(true ' + bits) = false + bitsinvert(bits);% ⊦ (boolvar ' + bits).first ↔ boolvar;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ boolvar ' + bits ≠ [];