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Proof step 7 from proof initsubset-init-forward (previous step)

init(str, st), init⊆(str, st, st0) ⊦ init(str, st0)

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 6:
init(str, st), init⊆(str, st, st0) ⊦ ∀ class. tdname∃(str, class) → initdone(class, st0)

Rule argument

[speclemmaarg: ,init(str, st) ↔ (∀ class. tdname∃(str, class) → initdone(class, st)) ,[st, str] → [st0, str] ,F ,storefuns , ,init-existing ]

Additional information

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