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Proof step 14 from proof addclass-union-sw (previous step)

⊦ st ∪ addclass(class0, fis0, st) = addclass(class0, fis0, st), jvmref ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ st1 = st2 ↔ (∀ rk. (rk ∈ st1 ↔ rk ∈ st2) ∧ st1[rk] = st2[rk])
Proof step 13:
⊦ ∀ rk. (rk ∈ st ∪ addclass(class0, fis0, st) ↔ rk ∈ addclass(class0, fis0, st)) ∧ (st ∪ addclass(class0, fis0, st))[rk] = (addclass(class0, fis0, st)[rk]), jvmref ∈ st

Rule argument

[speclemmaarg: ,st1 = st2 ↔ (∀ rk. (rk ∈ st1 ↔ rk ∈ st2) ∧ st1[rk] = st2[rk]) ,[st2, st1] → [addclass(class0, fis0, st), st ∪ addclass(class0, fis0, st)] ,F ,store ,javastore ,Extension ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addclass(class0, fis0, st), st ∪ addclass(class0, fis0, st))]]