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Proof step 13 from proof datasize-zero-h (previous step)

∀ buf. datasize(buf, m0) = 0 ↔ (∀ n. n < m0 → buf[n] = empty), ∀ n. ¬ m0 < n → buf[n] = empty ⊦ (buf[m0] = empty ⊃ datasize(buf, m0);m0 + 1) = 0

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 14:
buf[m0] = empty, ∀ n. ¬ m0 < n → buf[n] = empty, ∀ buf. datasize(buf, m0) = 0 ↔ (∀ n. n < m0 → buf[n] = empty) ⊦ (buf[m0] = empty ⊃ datasize(buf, m0);m0 + 1) = 0
Proof step 18:
∀ n. ¬ m0 < n → buf[n] = empty, ∀ buf. datasize(buf, m0) = 0 ↔ (∀ n. n < m0 → buf[n] = empty) ⊦ (buf[m0] = empty ⊃ datasize(buf, m0);m0 + 1) = 0, buf[m0] = empty

Rule argument

fma: buf[m0] = empty

Additional information

Used formulas: buf[m0] = empty