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Proof step 13 from proof validref-ac (previous step)

∀ str, r, ty, class, st. validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st) ⊦ validref(str, r, ty, addclass(class, (mkfs(class, ty0, fieldvar) ' × val) ' + fis0, st)) ↔ validref(str, r, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ addclass(class1, (mkfs(class1, ty, fieldvar) ' × val) ' + fis, st) = (addclass(class1, fis, st)[jvmref -- mkfs(class1, ty, fieldvar) ', val])
Proof step 12:
∀ str, r, ty, class, st. validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st) ⊦ validref(str, r, ty, addclass(class, fis0, st)[jvmref -- mkfs(class, ty0, fieldvar) ', val]) ↔ validref(str, r, ty, st)

Rule argument

[speclemmaarg: , addclass(class1, (mkfs(class1, ty, fieldvar) ' × val) ' + fis, st) = (addclass(class1, fis, st) [jvmref -- mkfs(class1, ty, fieldvar) ', val ] ) ,[st, fis, val, fieldvar, ty, class1] → [st, fis0, val, fieldvar, ty0, class] ,F ,addfuns , ,addclass-yes ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis0, val, fieldvar, ty0, class)]]