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Proof step 10 from proof initialization (previous step)

asynced0 ↔ asynced2, size = LEB_SIZE ⊦ ⟪dirs := ∅ ++ ROOT_INO; dirs[ROOT_INO] := mkdir(0, md, 0, 0, ∅); asynced := true; err := ESUCCESS; if err = ESUCCESS then icache_format#(; ; icache, err); if err = ESUCCESS then dcache_format#(; ; dcache, err); if err = ESUCCESS then pcache_format#(; ; pcache, err)⟫ ( ( err = ESUCCESS → ⟨afs_format#(n, asynced2, LEB_SIZE, md; afs_dirs; afs_files, afs_asynced, err0)⟩ (afs_dirs = dirs ∧ afs_files = (∅ ⊕ pcache) ⊕ icache ∧ (afs_asynced ↔ asynced) ∧ ESUCCESS = err0)) ∧ ( err ≠ ESUCCESS → (∀ dirs, files, asynced. ⟨afs_format#(n, asynced2, LEB_SIZE, md; afs_dirs; afs_files, afs_asynced, err0)⟩ (dirs = afs_dirs ∧ files = afs_files ∧ (asynced ↔ afs_asynced) ∧ err = err0))))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 11:
asynced0 ↔ asynced2, size = LEB_SIZE ⊦ ⟪dirs := (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)]; asynced := true; err := ESUCCESS; if err = ESUCCESS then icache_format#(; ; icache, err); if err = ESUCCESS then dcache_format#(; ; dcache, err); if err = ESUCCESS then pcache_format#(; ; pcache, err)⟫ ( ( err = ESUCCESS → ⟨afs_format#(n, asynced2, LEB_SIZE, md; afs_dirs; afs_files, afs_asynced, err0)⟩ (afs_dirs = dirs ∧ afs_files = (∅ ⊕ pcache) ⊕ icache ∧ (afs_asynced ↔ asynced) ∧ ESUCCESS = err0)) ∧ ( err ≠ ESUCCESS → (∀ dirs, files, asynced. ⟨afs_format#(n, asynced2, LEB_SIZE, md; afs_dirs; afs_files, afs_asynced, err0)⟩ (dirs = afs_dirs ∧ files = afs_files ∧ (asynced ↔ afs_asynced) ∧ err = err0))))

Proof step 10 from proof initialization (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information