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Proof step 7 from proof validstatfields-put-array-norefval (previous step)

okval(val, st[r1 -- _type] .type .type), validstatfields(str, st) ⊦ is_referencevalue(val), validstatfields(str, st[r1 -- i ', val])

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 6:
okval(val, st[r1 -- _type] .type .type), validstatfields(str, st) ⊦ is_referencevalue(val), ∀ class, sk. tdname∃(str, class) ∧ initdone(class, st[r1 -- i ', val]) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st[r1 -- i ', val])

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] → [st[r1 -- i ', val], str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r1 -- i ', val], str)]]