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Proof step 3 from proof replay-safe-gc-drop (previous step)

as ∩ log.toSet = ∅ ⊦ replay-safe(log, fs \ as, ri) ↔ replay-safe(log, fs, ri)

User applied rule structural induction

And obtained the following new goals

Proof step 4:
as ∩ (adr + log0).toSet = ∅, ∀ as, fs, ri. as ∩ log0.toSet = ∅ → (replay-safe(log0, fs \ as, ri) ↔ replay-safe(log0, fs, ri)) ⊦ replay-safe(adr + log0, fs \ as, ri) ↔ replay-safe(adr + log0, fs, ri)

Rule argument

indvar: log

Additional information

Used simplifier rules: replay-safe-empty: ⊦ replay-safe([], fs, fi);%address-list freely generated by [], +;;% ⊦ [].toSet = ∅; (s)% ⊦ as ∩ ∅ = ∅; (s)%int-a: ⊦ (as ∩ as0) ∩ as1 = as ∩ as0 ∩ as1; from specification set-union[node-store]%int-c: ⊦ as ∩ as0 = as0 ∩ as; from specification set-union[node-store]