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Proof step 8 from proof refine-readdir (previous step)

strings = strings0, fs[ri[inodekey(inode.ino)]].directory, 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(inode.ino) ∈ ri, asynced → boolvar ⊦ ⟪aubifs_core_index_entries#(inodekey(inode.ino), ri, fi, orphans(fs, ri), fo, fs, log, boolvar; strings; err)⟫ ⟨afs_readdir#(inode, abs-dirs(fs, ri), abs-files(fs, ri), asynced; strings0, err0)⟩ ((asynced → boolvar) ∧ strings = strings0 ∧ err = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [inode, m, md, boolvar0, m0, m1, m2]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: inode, m, md, boolvar0, m0, m1, m2