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Proof step 13 from proof writepage-prepost (previous step)

err = ESUCCESS, ((m0 =>mkfile(n2, md, m1, σ) * F))(files), afs-cons(dirs, files), m0 ∈ files, n0 + n1 ≤ VFS_PAGE_SIZE, m + n1 ≤ # buf1, err = ESUCCESS ∧ ⌜buf0⌝ = (σ from n3 * VFS_PAGE_SIZE) to VFS_PAGE_SIZE ∨ ⌊err⌋ ⊦ [afs_check_commit#(dirs, files; err; asynced); files0 := files; if err = ESUCCESS then {buf0 := copy(buf1, m, buf0, n0, n1); afs_writepage#(mkinode(m0, md0, boolvar, m2, m3, m4), n3, buf0, dirs; err, files; asynced)}] ( err = ESUCCESS ∧ ((m0 =>mkfile(n2, md, m1, (σ to n3 * VFS_PAGE_SIZE + n0) + ((⌜buf1⌝ from m) to n1) + (σ from n3 * VFS_PAGE_SIZE + n0 + n1)) * F))(files) ∨ ⌊err⌋ ∧ files0 = files)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
err = ESUCCESS, ⌜buf0⌝ = (σ from n3 * VFS_PAGE_SIZE) to VFS_PAGE_SIZE, ((m0 =>mkfile(n2, md, m1, σ) * F))(files), afs-cons(dirs, files), m0 ∈ files, m + n1 ≤ # buf1, n0 + n1 ≤ VFS_PAGE_SIZE ⊦ [afs_check_commit#(dirs, files; err; asynced); files0 := files; if err = ESUCCESS then {buf0 := copy(buf1, m, buf0, n0, n1); afs_writepage#(mkinode(m0, md0, boolvar, m2, m3, m4), n3, buf0, dirs; err, files; asynced)}] ( err = ESUCCESS ∧ ((m0 =>mkfile(n2, md, m1, (σ to n3 * VFS_PAGE_SIZE + n0) + ((⌜buf1⌝ from m) to n1) + (σ from n3 * VFS_PAGE_SIZE + n0 + n1)) * F))(files) ∨ ⌊err⌋ ∧ files0 = files)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)