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Proof step 3 from proof mkfile-stream-reduce (previous step)

((ino =>mkfile(n, md, m, σ0) * F))(files), ((ino =>mkfile(n, md, m, σ1) * F))(files) ⊦ σ0 = σ1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ((ino =>mkfile(n, md, m, σ) * F))(files) ↔ (∃ content. ((ino => mkfile(n, md, m, content) * F))(files) ∧ content.stream = σ)
Proof step 5:
((ino =>mkfile(n, md, m, σ1) * F))(files), ∃ content. ((ino => mkfile(n, md, m, content) * F))(files) ∧ content.stream = σ0 ⊦ σ0 = σ1

Rule argument

spec: <toplevel> name: mkfile-stream seq: ⊦ ((ino =>mkfile(n, md, m, σ) * F))(files) ↔ (∃ content. ((ino => mkfile(n, md, m, content) * F))(files) ∧ content.stream = σ) subst: [files, F, σ, m, md, n, ino] → [files, F, σ0, m, md, n, ino] flags: <all paths>

Additional information

Used terms: files, F, σ0, m, md, n, ino