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Proof step 18 from proof validsubset-put-statfield (previous step)

⊦ valid⊆(str, st, st0[jvmref -- sk, val]) ↔ valid⊆(str, st, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ valid⊆(str, st, st0) ↔ (∀ r, ty. validref(str, r, ty, st) → validref(str, r, ty, st0)) ∧ (∀ r. ¬ r ∈ st ∧ r ∈ st0 → ¬ junkref(str, r, st0))
Proof step 17:
⊦ (∀ r, ty. validref(str, r, ty, st) → validref(str, r, ty, st0[jvmref -- sk, val])) ∧ (∀ r. ¬ r ∈ st ∧ r ∈ st0[jvmref -- sk, val] → ¬ junkref(str, r, st0[jvmref -- sk, val])) ↔ valid⊆(str, st, st0)

Rule argument

[crewrite-arg: validsubset-def , F , [st0, st, str] → [st0[jvmref -- sk, val], st, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0[jvmref -- sk, val], st, str)]]