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Proof step 151 from proof bitsand-cast (previous step)

n = # fillsgn(n, fillsgn(m, bits2) + bitsand(bits, true ' + false ' + bits1)), n = # fillsgn(n, bits2 + bitsand(bits, true ' + false ' + bits1)), # bits = 2 + # bits1, n = # fillsgn(n, mklist(true, m) + true ' + false ' + bits1), sgn(mklist(true, m) + true ' + false ' + bits1) = true ' + false ' + bits1, 2 + # bits1 + m < # bits2 + # bits, bits2.first, # bits2 < m, 2 + # bits1 + m < n, n < # bits2 + # bits, 3 + # bits1 + m < # bits2 + # bits ⊦ bits2 = [], bits = [], bits2 + bits = [], fillsgn(n, bits2 + bitsand(bits, true ' + false ' + bits1)) = fillsgn(n, fillsgn(m, bits2) + bitsand(bits, true ' + false ' + bits1))

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 3 flags: discard

Additional information

Used simplifier rules: ⊦ m + n < m + n0 ↔ n < n0;% ⊦ m < n → ¬ n < m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m;