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Proof step 21 from proof validstatfields-subset (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validstatfields(str, st) ↔ (∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st))
Proof step 20:
init(str, st0), init(str, st), st ⊆ st0, validstatfields(str, st) ⊦ ∀ class, sk. tdname∃(str, class) ∧ initdone(class, st0) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st0)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: validstatfield-level-expand antecedent: succedent: validstatfields(str, st) ↔ (∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st)) substlist: [st, str] → [st0, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

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