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Proof step 30 from proof prepost-read-superblock (previous step)

# buf3 + # buf2 = encoding-size(sb0, EB_PAGE_SIZE), LEB_SIZE = n0 + encoding-size(sb0, EB_PAGE_SIZE), avol[0] = mapped(buf3 + buf2), subarray((buf3 + buf2) + mkempbuf(n0), 0, encoding-size(sb, EB_PAGE_SIZE)) = buf0 + buf, ebm-vol-inv(avol), is-encoded-unaligned(sb, buf0), is-encoded-unaligned(sb0, buf3), encoding-size(sb, EB_PAGE_SIZE) ≤ LEB_SIZE, encoding-size(sb0, EB_PAGE_SIZE) ≤ LEB_SIZE ⊦ # avol = 0, sb = sb0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 31:
⊦ (buf + buf0) + buf1 = buf + buf0 + buf1
Proof step 32:
# buf3 + # buf2 = encoding-size(sb0, EB_PAGE_SIZE), LEB_SIZE = n0 + encoding-size(sb0, EB_PAGE_SIZE), avol[0] = mapped(buf3 + buf2), subarray((buf3 + buf2) + mkempbuf(n0), 0, encoding-size(sb, EB_PAGE_SIZE)) = buf0 + buf, ebm-vol-inv(avol), is-encoded-unaligned(sb0, buf3), is-encoded-unaligned(sb, buf0), encoding-size(sb0, EB_PAGE_SIZE) ≤ LEB_SIZE, encoding-size(sb, EB_PAGE_SIZE) ≤ LEB_SIZE ⊦ # avol = 0, sb = sb0

Rule argument

spec: array-splice, inst: buffer name: append-a seq: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1 subst: [buf1, buf0, buf] → [mkempbuf(n0), buf2, buf3] flags: <rotated> <all paths>

Additional information

Used simplifier rules: append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer] Used terms: mkempbuf(n0), buf2, buf3