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Proof step 5 from proof abs-files-put-nlink (previous step)

files[ino] = mkfile(m, md, n0, content), ino ∈ files ⊦ ∀ fid. (fid ∈ abs-files(files[ino, mkfile(m, md, n1, content)]) ↔ fid ∈ abs-files(files)) ∧ (fid ∈ abs-files(files[ino, mkfile(m, md, n1, content)]) → abs-files(files[ino, mkfile(m, md, n1, content)])[fid] = abs-files(files)[fid])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
files[ino] = mkfile(m, md, n0, content), ino ∈ files ⊦ (fid ∈ abs-files(files[ino, mkfile(m, md, n1, content)]) ↔ fid ∈ abs-files(files)) ∧ (fid ∈ abs-files(files[ino, mkfile(m, md, n1, content)]) → abs-files(files[ino, mkfile(m, md, n1, content)])[fid] = abs-files(files)[fid])

Proof step 5 from proof abs-files-put-nlink (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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