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Proof step 62 from proof abs-istore-crash (previous step)

# indx0 = # lax0, # avol0 = # lpt, # lpt0 = # lpt, # avol1 = # lpt, avol0[n] = mapped(buf), istore0[n] = indexblock(indx1, lax2, m0), istore[n] = indexblock(indx0, lax0, m3), lpt[n] = mklp(m3, m5, LP_INDEX_NODES, m6), (∅)[n] = groupblock(gndx, lax1, m7), lpt0[n] = mklp(m0, m10, LP_INDEX_NODES, m2), avol1[n] = mapped(buf.align↓), dom istore ∩ elems nx = ∅, n < # lpt, abs-nodes(buf, indx0, lax0, m5 = LEB_SIZE), synced(avol0), n ∈ istore, n ∈ istore0, istore0 ⊑ istore, m5 ≠ LEB_SIZE → m5 = # buf, ∀ n. n < # lpt ∧ lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0 ⊦ m0 = 0, abs-nodes(buf.align↓, indx0, lax0, true), n ∈ gstore0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 63:
⊦ is-aligned(# buf, EB_PAGE_SIZE) → buf.align↓ = buf
Proof step 64:
# avol1 = # lpt, # lpt0 = # lpt, # avol0 = # lpt, # indx0 = # lax0, avol1[n] = mapped(buf.align↓), lpt0[n] = mklp(m0, m10, LP_INDEX_NODES, m2), (∅)[n] = groupblock(gndx, lax1, m7), lpt[n] = mklp(m3, m5, LP_INDEX_NODES, m6), istore[n] = indexblock(indx0, lax0, m3), istore0[n] = indexblock(indx1, lax2, m0), avol0[n] = mapped(buf), dom istore ∩ elems nx = ∅, n < # lpt, abs-nodes(buf, indx0, lax0, m5 = LEB_SIZE), synced(avol0), n ∈ istore0, n ∈ istore, istore0 ⊑ istore, m5 ≠ LEB_SIZE → m5 = # buf, ∀ n. n < # lpt ∧ lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0 ⊦ m0 = 0, abs-nodes(buf.align↓, indx0, lax0, true), is-aligned(# buf, EB_PAGE_SIZE), n ∈ gstore0

Rule argument

spec: awbuf-inv name: align-down-is-aligned seq: ⊦ is-aligned(# buf, EB_PAGE_SIZE) → buf.align↓ = buf subst: [buf] → [buf] flags: <all paths>

Additional information

Used simplifier rules: ⊦ abs-nodes(buf, indx, lax0, true) → (abs-nodes(buf, indx0, lax1, true) ↔ indx = indx0 ∧ lax0 = lax1); (s)% ⊦ abs-nodes(buf, indx, lax, false) → abs-nodes(buf, indx, lax, true); (ss) Used terms: buf