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Proof step 6 from proof datasize-append-lower-h (previous step)

m0 < # buf0, ∀ buf0, buf1. m0 ≤ # buf0 → datasize(buf0 + buf1, m0) = datasize(buf0, m0) ⊦ (buf0[m0] = empty ⊃ datasize(buf0 + buf1, m0);m0 + 1) = (buf0[m0] = empty ⊃ datasize(buf0, m0);m0 + 1)

Heuristic cut applied rule cut formula

And obtained the following new goals

Rule argument

fma: buf0[m0] = empty

Additional information

Used simplifier rules: ⊦ m + n = m + n0 ↔ n = n0; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used formulas: buf0[m0] = empty