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Proof step 136 from proof truncate-empty (previous step)

files[ino] = mkfile(m, md0, # links(ino, dirs), content), buf-opt = none, inode = mkinode(ino, md1, false, # links(ino, dirs), 0, n), old_ino = 0, old_ino0 = 0, pageno = n / VFS_PAGE_SIZE, afs-cons(dirs, files), ino ∈ files ⊦ [fail#(; ; err); asynced := ?] (err = ESUCCESS → files[ino].content.stream from n = σ⊥), VFS_PAGE_SIZE = 0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 137:
files[ino] = mkfile(m, md0, # links(ino, dirs), content), files[ino] = mkfile(m0, md, m1, content0), buf-opt = none, inode = mkinode(ino, md1, false, # links(ino, dirs), 0, n), old_ino = 0, old_ino0 = 0, pageno = n / VFS_PAGE_SIZE, afs-cons(dirs, files), ino ∈ files ⊦ [fail#(; ; err); asynced := ?] (err = ESUCCESS → content0.stream from n = σ⊥), VFS_PAGE_SIZE = 0

Rule argument

spec: abstract-file name: elim seq: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content) subst: [af, m, md, m0, content] → [files[ino], m0, md, m1, content0]

Additional information

Used simplifier rules: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content); (elim) Used terms: files[ino], m0, md, m1, content0