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Proof step 12 from proof eq-io-readpage (previous step)

⟨afs_readpage#(mkinode(m, md, boolvar, m0, m1, m2), pageno0, dirs1, files1, asynced0; buf, err)⟩ (buf = buf0 ∧ err = err1), # buf = VFS_PAGE_SIZE, files1[m] = mkfile(m3, md0, m4, content), 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 unfold applied rule call left

And obtained the following new goals

Proof step 13:
⟨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)

Rule argument

pos: left 1

Additional information

Used simplifier rules: afs_readpage#(INODE, PAGENO, DIRS, FILES, ASYNCED; PBUF, ERR) {if pre-readpage(INODE, PAGENO, PBUF, DIRS, FILES) then { {if PAGENO ∈ FILES[INODE.ino].content then PBUF := FILES[INODE.ino].content[PAGENO] else PBUF := zeropage; ERR := ESUCCESS} or fail#(; ; ERR)} else abort };