[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 88 from proof read-loop-term (previous step)

VFS_PAGE_SIZE = n7 + (n0 + n6) % VFS_PAGE_SIZE, inode = mkinode(m, md, boolvar, m0, m1, m2), ¬ isdir, n1 = n5 + n0 + n6, m2 ≠ n0 + n6, n5 ≠ 0, n7 ≠ 0, n0 + n6 < m2, afs-cons(dirs, files), m ∈ files, n5 + n6 ≤ # buf, n6 ≤ # buf, ⌊err0⌋ , ∀ n2, n3, n4, err, inode, m, md, boolvar, m0, m1, m2, isdir, dirs, files, buf, asynced. n2 - n3 + n4 < n5 → err = ESUCCESS ∧ inode = mkinode(m, md, boolvar, m0, m1, m2) ∧ ¬ isdir ∧ afs-cons(dirs, files) ∧ m ∈ files ∧ n4 ≤ # buf ∧ n3 + n4 ≤ m2 ∧ n3 + n4 ≤ n2 ∧ n2 ≤ # buf + n3 → ⟪vfs_read_block#(n3, n2, inode, dirs, files, asynced; buf, n4, isdir, err); while err = ESUCCESS ∧ ¬ isdir do vfs_read_block#(n3, n2, inode, dirs, files, asynced; buf, n4, isdir, err)⟫ true ⊦ ⟪while err0 = ESUCCESS ∧ ¬ isdir do vfs_read_block#(n0, n1, inode, dirs, files, asynced; buf, n6, isdir, err0)⟫ true

Proof step 88 from proof read-loop-term (previous step)

Heuristic loop exit applied rule while exit right

And closed the goal!

Rule argument

Additional information