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Proof step 5 from proof validsubset-addclass (conclusion)

⊦ valid⊆(str, st, addclass(class, fis, st))

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 2:
⊦ validref(str, r, ty, addclass(class, fis, st)) ↔ validref(str, r, ty, st)
Proof step 3:
⊦ junkref(str, r, addclass(class, fis, st)) ↔ junkref(str, r, st)
Proof step 4:
⊦ ¬ r ∈ st → (junkref(str, r, st) ↔ r ≠ jvmref)

Rule argument

[crewrite-arg: validsubset-def , F , [st0, st, str] → [addclass(class, fis, st), st, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ jvmref → ( r ∈ addclass(class1, fis, st) ↔ r ∈ st)])], [EXTRATERMS : (addclass(class, fis, st), st, str)]]