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Proof step 2 from proof write-prepost-partial (previous step)

file = of0[fd], files0 = files1, n0 = n1, of0 = of1, afs-cons(dirs, files0), of-cons(of0, dirs, files0), n0 ≤ # buf ⊦ [vfs_write#(fd, buf, user; n1, err, of1, dirs, files1, asynced)] (err = ESUCCESS ⊃ (files1[file.ino].content.stream to files1[file.ino].size).buf = splice(buf, 0, (files0[file.ino].content.stream to files0[file.ino].size).buf, file.pos, n1) ∧ fd ∈ of0 ∧ of1 = of0[fd, file.pos:= (file.pos + n1)] ∧ n1 ≤ n0 ∧ file.ino ∈ files0 ∧ file.ino ∈ files1 ∧ files1[file.ino].meta = files0[file.ino].meta ∧ files1 -- file.ino = files0 -- file.ino ∧ (file.mode = MODE_W ∨ file.mode = MODE_RW) ;files1 ~ files0 ∧ of0 = of1 ∧ (err = EBADFD ∧ (fd ∈ of0 → file.mode ≠ MODE_W ∧ file.mode ≠ MODE_RW) ∨ ⌊err⌋ ) )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
file = of1[fd], files0 = files1, n0 = n1, of0 = of1, afs-cons(dirs, files1), of-cons(of1, dirs, files1), n1 ≤ # buf ⊦ [vfs_write#(fd, buf, user; n1, err, of1, dirs, files1, asynced)] (err = ESUCCESS ⊃ (files1[file.ino].content.stream to files1[file.ino].size).buf = splice(buf, 0, (files0[file.ino].content.stream to files0[file.ino].size).buf, file.pos, n1) ∧ fd ∈ of0 ∧ of1 = of0[fd, file.pos:= (file.pos + n1)] ∧ n1 ≤ n0 ∧ file.ino ∈ files0 ∧ file.ino ∈ files1 ∧ files1[file.ino].meta = files0[file.ino].meta ∧ files1 -- file.ino = files0 -- file.ino ∧ (file.mode = MODE_W ∨ file.mode = MODE_RW) ;files1 ~ files0 ∧ of0 = of1 ∧ (err = EBADFD ∧ (fd ∈ of1 → file.mode ≠ MODE_W ∧ file.mode ≠ MODE_RW) ∨ ⌊err⌋ ) )

Proof step 2 from proof write-prepost-partial (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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