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Proof step 4 from proof validfieldlist-mode (previous step)

⊦ validfieldlist(str, jvmref, sks, st[_mode, val]) ↔ validfieldlist(str, jvmref, sks, st), mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ sks

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ rk .ref = jvmref ∧ (r ≠ jvmref ∨ ¬ rk .key ∈ sks) → (validfieldlist(str, r, sks, st[rk, val]) ↔ validfieldlist(str, r, sks, st))
Proof step 3:
¬ (_mode .ref = jvmref ∧ (jvmref ≠ jvmref ∨ ¬ _mode .key ∈ sks)) ⊦ validfieldlist(str, jvmref, sks, st[_mode, val]) ↔ validfieldlist(str, jvmref, sks, st), mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ sks

Rule argument

[crewrite-arg: validfieldlist-put-statfield , F , [val, rk, st, sks, r, str] → [val, _mode, st, sks, jvmref, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, _mode, st, sks, jvmref, str)]]