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Proof step 6 from proof union-init-03 (previous step)

⊦ init(str, st ∪ st0) ↔ init(str, st0), jvmref ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ init(str, st) ↔ (∀ class. tdname∃(str, class) → initdone(class, st))
Proof step 5:
⊦ (∀ class. tdname∃(str, class) → initdone(class, st ∪ st0)) ↔ init(str, st0), jvmref ∈ st

Rule argument

[x0lemmaarg: spec-name: storefuns instance-name: lemma-name: init-existing antecedent: succedent: init(str, st) ↔ (∀ class. tdname∃(str, class) → initdone(class, st)) substlist: [st, str] → [st ∪ st0, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st ∪ st0, str)]]