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Proof step 269 from proof bitsand-cast (previous step)

n0 + # bits = # fillsgn(n0 + # bits, mklist(false, m) + false ' + true ' + bits1), 2 + # bits1 = # bits, n0 < m, 2 + # bits1 + m < n0 + # bits, # bits2 < m, bits2.first ⊦ mklist(false, n0) = mklist(false, n0 - m) + mklist(false, m), bits2 + bits = [], bits = [], mklist(false, m) + bitsand(bits, false ' + true ' + bits1) = [], bits2 = []

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 2 flags: rotate, 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;