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Proof step 3 from proof lebs-dom-remove-refsize0 (previous step)

inv(gstore \ ginval), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, ginval)) ⊦ ri.lebs ⊆ dom remove-refsize0(gstore)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ns ⊆ ns0 ↔ (∀ n. n ∈ ns → n ∈ ns0)
Proof step 5:
inv(gstore \ ginval), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, ginval)) ⊦ ∀ n. n ∈ ri.lebs → n ∈ dom remove-refsize0(gstore)

Rule argument

spec: set-basic, inst: nat-set name: Subset seq: ⊦ ns ⊆ ns0 ↔ (∀ n. n ∈ ns → n ∈ ns0) subst: [ns0, ns] → [dom remove-refsize0(gstore), ri.lebs] flags: <all paths>

Additional information

Used terms: dom remove-refsize0(gstore), ri.lebs