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Proof step 7 from proof datasize-add-empty-h (previous step)

buf[n0 + n] = empty, subarray(buf, n0, n + 1) = mkempbuf(n + 1), n0 + n < # buf, ∀ buf, n0. subarray(buf, n0, n) = mkempbuf(n) ∧ n0 + n ≤ # buf → datasize(buf, n0 + n) = datasize(buf, n0) ⊦ datasize(buf, n0 + n) = datasize(buf, n0)

User applied rule all left

And obtained the following new goals

Proof step 8:
buf[n0 + n] = empty, subarray(buf, n0, n + 1) = mkempbuf(n + 1), n0 + n < # buf, subarray(buf, n0, n) = mkempbuf(n) ∧ n0 + n ≤ # buf → datasize(buf, n0 + n) = datasize(buf, n0) ⊦ datasize(buf, n0 + n) = datasize(buf, n0)

Rule argument

pos: left 4 terms: buf, n0 abort: F discard: T computed: T

Additional information

Used terms: buf, n0