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Proof step 49 from proof refine-unlink (previous step)

fs[ri[dentrykey(ino, str0)]].ino = fs[ri[dentrykey(m, str)]].ino, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink = 1, abs-dirs(fs, ri)[fs[ri[dentrykey(m, str)]].ino] = mkdir(m0, md, m1, m2, entries), fs[ri[inodekey(m)]].directory, fs[ri[inodekey(ROOT_INO)]].directory, fo.inodes?, orphans(fs, ri).inodes?, 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), inodekey(ino) ∈ ri, dentrykey(ino, str0) ∈ ri, inodekey(m) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, dentrykey(m, str) ∈ ri, inodekey(ROOT_INO) ∈ ri, asynced → boolvar, ∀ name. dentrykey(fs[ri[dentrykey(m, str)]].ino, name) ∈ ri → inodekey(entries[name]) ∈ ri ∧ fs[ri[inodekey(entries[name])]].directory ∨ inodekey(entries[name]) ∈ ri ∧ ¬ fs[ri[inodekey(entries[name])]].directory, ∀ alink. inodekey(alink.pino) ∈ ri ∧ dentrykey(alink.pino, alink.name) ∈ ri ∧ fs[ri[dentrykey(m, str)]].ino = fs[ri[dentrykey(alink.pino, alink.name)]].ino → alink = mklink(m, str), fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO ⊦ dentrykey(ino, str0) = dentrykey(m, str), fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory

User applied rule all left

And closed the goal!

Rule argument

pos: left 23 terms: mklink(ino, str0) abort: F discard: F computed: F

Additional information

Used simplifier rules: ⊦ mklink(m, str).pino = m; (s)% ⊦ mklink(m, str).name = str; (s)% ⊦ mklink(m, str) = mklink(m0, str0) ↔ m = m0 ∧ str = str0; (ws) Used terms: mklink(ino, str0)