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Proof step 9 from proof crash-neutral-readpage (previous step)

# buf = VFS_PAGE_SIZE, afs-cons(dirs, files), m ∈ files ⊦ ⟨fail#(; ; err)⟩ true, ⟨if pageno ∈ files[m].content then buf := files[m].content[pageno] else buf := zeropage; err := ESUCCESS⟩ true

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
# buf = VFS_PAGE_SIZE, files[m] = mkfile(m0, md, m1, content), afs-cons(dirs, files), m ∈ files ⊦ ⟨fail#(; ; err)⟩ true, ⟨if pageno ∈ content then buf := content[pageno] else buf := zeropage; err := ESUCCESS⟩ true

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[m], m0, md, m1, content]

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[m], m0, md, m1, content