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Theorem fids-cons-reduce

⊦ fids-cons(tree0, fs0, ofh0) → (fids-cons(tree1, fs1, ofh1) ↔ (∀ fid. (fid ∈ fs0 ↔ fid ∈ tree0.fids ∨ fid ∈ ofh0.fids) → (fid ∈ fs1 ↔ fid ∈ tree1.fids ∨ fid ∈ ofh1.fids)))

Type: A user defined theorem
Validity: The proof is valid.
Features: lss,
Comment:
Used by: inv-close, inv-create, inv-link, inv-mkdir, inv-open, inv-read, inv-recover, inv-rmdir, inv-seek, inv-truncate, inv-unlink, inv-write, inv-writemeta, rename-fids,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 12
Used lemmas:
Used spec theorems:
- posix-base/fids-cons
Used simplifier rules: