[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 44 from proof refine-truncate (previous step)

⟨afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt1, inode1, asynced0, err0, cache_dirs, afs_files, afs_asynced0)⟩ ( cache_dirs = cache_dirs0 ∧ afs_files = (cache_files0 ⊕ cache_pcache0) ⊕ cache_icache0 ∧ (afs_asynced0 ↔ cache_asynced0) ∧ buf-opt2 = buf-opt1 ∧ inode2 = inode1 ∧ (asynced1 ↔ asynced0) ∧ err1 = err0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, m1, content), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, buf-opt0 = none, buf-opt1 = none, inode0 = mkinode(m, md, false, m1, 0, m2), inode1 = mkinode(m, md, false, m1, 0, m2), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, inode0, asynced0, err0, cache_dirs, afs_files, afs_asynced0)⟩ ( cache_dirs = cache_dirs0 ∧ afs_files = (cache_files0 ⊕ cache_pcache0) ⊕ cache_icache0 ∧ (afs_asynced0 ↔ cache_asynced0) ∧ buf-opt2 = buf-opt0 ∧ inode2 = inode0 ∧ (asynced1 ↔ asynced0) ∧ err1 = err0), datakey(m, m2 / VFS_PAGE_SIZE) ∈ cache_pcache

Proof step 44 from proof refine-truncate (previous step)

User applied rule execute call

And closed the goal!

Rule argument

Additional information