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Proof step 7 from proof validstatfields-subset (previous step)

st ⊆ st0, init(str, st), init(str, st0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, st0), tdname∃(str, class0) ⊦ initdone(class0, st), validstatfield(str, mkfs(class0, ty, fieldvar) ', st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ init(str, st) ↔ (∀ class. tdname∃(str, class) → initdone(class, st))
Proof step 6:
st ⊆ st0, ∀ class. tdname∃(str, class) → initdone(class, st), init(str, st0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, st0), tdname∃(str, class0) ⊦ initdone(class0, st), validstatfield(str, mkfs(class0, ty, fieldvar) ', st0)

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, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

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