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Proof step 7 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 ⊦ validfield(str, r, sk0, st[jvmref -- sk, val]) ∧ validfieldlist(str, r, 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

Proof step 4:
⊦ r ≠ jvmref ∨ sk ≠ sk0 → (validfield(str, r, sk0, st[jvmref -- sk, val]) ↔ validfield(str, r, sk0, st))
Proof step 6:
r ≠ jvmref ∨ sk ≠ sk0, ∀ 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 ⊦ validfield(str, r, sk0, st) ∧ validfieldlist(str, r, sks0, st[jvmref -- sk, val]) ↔ validfield(str, r, sk0, st) ∧ validfieldlist(str, r, sks0, st)

Rule argument

[crewrite-arg: validfield-put-statfield , F , [val, sk, st, sk0, r, str] → [val, sk, st, sk0, r, str] ]

Additional information

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