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Proof step 26 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, buf = buf0, fs[ri[datakey(m, pageno)]].data?, fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ri[datakey(m, pageno)] ∈ fs, datakey(m, pageno) ∈ ri, inodekey(m) ∈ ri, ¬ fs[ri[inodekey(m)]].directory, asynced → boolvar2 ⊦ ⟨afs_readpage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, abs-dirs(fs, ri), abs-files(fs, ri), asynced; buf0, err1)⟩ ((asynced → boolvar2) ∧ copy(fs[ri[datakey(m, pageno)]].data, 0, buf, 0, VFS_PAGE_SIZE) = buf0 ∧ ESUCCESS = err1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 27:
# buf0 = VFS_PAGE_SIZE, fs[ri[datakey(m, pageno)]] = datanode(key, buf1), buf = buf0, fs[ri[datakey(m, pageno)]].data?, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, datakey(m, pageno) ∈ ri, ri[datakey(m, pageno)] ∈ fs, asynced → boolvar2 ⊦ ⟨afs_readpage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, abs-dirs(fs, ri), abs-files(fs, ri), asynced; buf0, err1)⟩ ((asynced → boolvar2) ∧ copy(buf1, 0, buf, 0, VFS_PAGE_SIZE) = buf0 ∧ ESUCCESS = err1), fs[ri[inodekey(m)]].directory

Rule argument

spec: node name: elim-05 seq: ⊦ nd.data? → (key = nd.key ∧ buf = nd.data ↔ nd = datanode(key, buf)) subst: [nd, key, buf] → [fs[ri[datakey(m, pageno)]], key, buf1]

Additional information

Used simplifier rules: ⊦ nd.data? → (key = nd.key ∧ buf = nd.data ↔ nd = datanode(key, buf)); (elim) Used terms: fs[ri[datakey(m, pageno)]], key, buf1