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Proof step 3 from proof has-valid-content (previous step)

valid-content(files), ino ∈ files ⊦ valid-content(ino, files)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ valid-content(files) ↔ (∀ ino. ino ∈ files → valid-content(ino, files))
Proof step 5:
ino ∈ files, ∀ ino. ino ∈ files → valid-content(ino, files) ⊦ valid-content(ino, files)

Rule argument

spec: <toplevel> name: valid-content seq: ⊦ valid-content(files) ↔ (∀ ino. ino ∈ files → valid-content(ino, files)) subst: [files] → [files] flags: <all paths>

Additional information

Used terms: files