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Proof step 13 from proof eq-io-readpage (previous step)

⟨if pre-readpage(inode, pageno, buf, dirs, files) then { {if pageno ∈ files[inode.ino].content then buf := files[inode.ino].content[pageno] else buf := zeropage; err := ESUCCESS} or fail#(; ; err)} else abort⟩ (buf = buf0 ∧ err = err1), # buf = VFS_PAGE_SIZE, asynced ↔ asynced0, files1[m] = mkfile(m3, md0, m4, content), dirs = dirs1, files = files1, inode = mkinode(m, md, boolvar, m0, m1, m2), pageno = pageno0, m ∈ files1 ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (buf = buf0 ∧ err = err1), ⟨if pageno0 ∈ content then buf := content[pageno0] else buf := zeropage; err := ESUCCESS⟩ (buf = buf0 ∧ err = err1)

Heuristic symbolic execution applied rule if positive left

And obtained the following new goals

Proof step 14:
⟨{if pageno ∈ files[inode.ino].content then buf := files[inode.ino].content[pageno] else buf := zeropage; err := ESUCCESS} or fail#(; ; err)⟩ (buf = buf0 ∧ err = err1), # buf = VFS_PAGE_SIZE, asynced ↔ asynced0, files1[m] = mkfile(m3, md0, m4, content), dirs = dirs1, files = files1, inode = mkinode(m, md, boolvar, m0, m1, m2), pageno = pageno0, m ∈ files1 ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (buf = buf0 ∧ err = err1), ⟨if pageno0 ∈ content then buf := content[pageno0] else buf := zeropage; err := ESUCCESS⟩ (buf = buf0 ∧ err = err1)

Rule argument

pos: left 1

Additional information

Used simplifier rules: ⊦ pre-readpage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)