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Proof step 60 from proof replayorphans-prepost (previous step)

ri ⊖ ro = ri1 ⊖ ro1, ro.inodes?, ro1.inodes?, ro ⊆ ro1 ⊦ # ro = 0, ro = ∅, ∃ key. key ∈ ro

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 61:
⊦ ks = ks0 ↔ (∀ key. key ∈ ks ↔ key ∈ ks0)
Proof step 62:
ri ⊖ ro = ri1 ⊖ ro1, ro1.inodes?, ro.inodes?, ro ⊆ ro1 ⊦ # ro = 0, ∀ key. key ∈ ro ↔ key ∈ ∅, ∃ key. key ∈ ro

Rule argument

spec: set-basic, inst: node-index name: Extension seq: ⊦ ks = ks0 ↔ (∀ key. key ∈ ks ↔ key ∈ ks0) subst: [ks0, ks] → [∅, ro] flags: <all paths>

Additional information

Used terms: ∅, ro