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Proof step 3 from proof write-new (previous step)

# ax0 = # ndx, new(ax1, fs0[ax0, ndx]) ⊦ new(ax1, fs0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ new(log, fs) ↔ (∀ adr. adr ∈ log → ¬ adr ∈ fs)
Proof step 5:
# ax0 = # ndx, new(ax1, fs0[ax0, ndx]) ⊦ ∀ adr. adr ∈ ax1 → ¬ adr ∈ fs0

Rule argument

spec: <toplevel> name: new-ext seq: ⊦ new(log, fs) ↔ (∀ adr. adr ∈ log → ¬ adr ∈ fs) subst: [fs, log] → [fs0, ax1] flags: <all paths>

Additional information

Used terms: fs0, ax1