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Proof step 52 from proof refine-write (previous step)

LEB_SIZE = (n4 + n) + n0 + n2, avols[default-volid][m2] = mapped(buf0, n2), m2 < # avols[default-volid], n1 < LEB_SIZE, n1 < n2 + n0, ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n, EB_PAGE_SIZE), is-aligned(n0, EB_PAGE_SIZE), default-volid ∈ avols, n + n0 + n2 ≤ LEB_SIZE, n0 + n2 ≤ LEB_SIZE, n2 ≤ LEB_SIZE, n3 + n ≤ # buf, (n0 + n2) + n ≤ LEB_SIZE ⊦ (n1 < n2 ⊃ buf0[n1];mkempbuf(n0)[n1 - n2]) = buf0[n1], n = 0

User applied rule case distinction

And obtained the following new goals

Proof step 53:
LEB_SIZE = (n4 + n) + n0 + n2, avols[default-volid][m2] = mapped(buf0, n2), n1 < n2 + n0, n1 < LEB_SIZE, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n0, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), default-volid ∈ avols, (n0 + n2) + n ≤ LEB_SIZE, n3 + n ≤ # buf, n2 ≤ LEB_SIZE, n0 + n2 ≤ LEB_SIZE, n + n0 + n2 ≤ LEB_SIZE ⊦ mkempbuf(n0)[n1 - n2] = buf0[n1], n = 0, n1 < n2

Rule argument

pos: right 1

Proof step 52 from proof refine-write (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information