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Proof step 8 from proof lebs-dom-remove-refsize0 (previous step)

inv(gstore \ ginval), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, ginval)), @(m, m0, m1) ∈ ri ⊦ m ∈ remove-refsize0(gstore)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ adr ∈ ri ↔ (∃ key. key ∈ ri ∧ ri[key] = adr)
Proof step 10:
inv(gstore \ ginval), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, ginval)), ∃ key. key ∈ ri ∧ ri[key] = @(m, m0, m1) ⊦ m ∈ remove-refsize0(gstore)

Rule argument

spec: store+set, inst: node-index name: Data-in seq: ⊦ adr ∈ ri ↔ (∃ key. key ∈ ri ∧ ri[key] = adr) subst: [ri, adr] → [ri, @(m, m0, m1)] flags: <all paths>

Additional information

Used terms: ri, @(m, m0, m1)