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Proof step 3 from proof upto-same (previous step)

files[ino] = mkfile(n, md, m, content), ino ∈ files, ∀ n. n ∈ files[ino].content → n * VFS_PAGE_SIZE < files[ino].size ⊦ content upto n = content

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
files[ino] = mkfile(n, md, m, content), files[ino] = mkfile(m0, md0, m1, content0), ino ∈ files, ∀ n. n ∈ content0 → n * VFS_PAGE_SIZE < m0 ⊦ content upto n = content

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, md0, 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, md0, m1, content0