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Proof step 2 from proof F-ext (previous step)

∀ ino. (ino ∈ files ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory) ∧ (ino ∈ files → files[ino] = mkfile(fs[ri[inodekey(ino)]].size, fs[ri[inodekey(ino)]].meta, fs[ri[inodekey(ino)]].nlink, abs-content(ino, fs, ri))) ⊦ files = abs-files(fs, ri)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: heap, inst: file-heap name: ext seq: ⊦ files = files0 ↔ (∀ ino. (ino ∈ files ↔ ino ∈ files0) ∧ (ino ∈ files → files[ino] = files0[ino])) subst: [files0, files] → [abs-files(fs, ri), files] flags: <all paths>

Additional information

Used terms: abs-files(fs, ri), files