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Proof step 8 from proof validfieldlist-put-statfield (previous step)

∀ r, sk, str, st, val. r ≠ jvmref ∨ ¬ sk ∈ sks0 → (validfieldlist(str, r, sks0, st[jvmref -- sk, val]) ↔ validfieldlist(str, r, sks0, st)), r ≠ jvmref ∨ sk ≠ sk0 ∧ ¬ sk ∈ sks0 ⊦ validfieldlist(str, r, sk0 ' + sks0, st[jvmref -- sk, val]) ↔ validfield(str, r, sk0, st) ∧ validfieldlist(str, r, sks0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[crewrite-arg: validfieldlist-rec , F , [st, sks, sk, r, str] → [st[jvmref -- sk, val], sks0, sk0, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[jvmref -- sk, val], sks0, sk0, r, str)]]