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Theorem tree-induction

∀ fid. Ptree(fnode(fid)), ∀ md, sdt. (∀ str. str ∈ sdt → Ptree(sdt[str])) → Ptree(dnode(md, sdt)) ⊦ Ptree(tree)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: tree-ext,
Used by units in proved state: posix-asm, directory-tree-fids, posix-base, posix-links,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 12
Used lemmas: count-rec, count-dnode,
Used spec theorems:
- store/directory-tree-inst/exin
Used simplifier rules: