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Proof step 31 from proof junkref-ac (previous step)

is_fskey(fv .1), ∀ r, str, class, st. r = jvmref ∨ (junkref(str, r, addclass(class, fis0, st)) ↔ junkref(str, r, st)) ⊦ fv .1 .fs .class = class, junkref(str, r, addclass(class, fis0, st)) ↔ junkref(str, r, st), r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
fv = sk × val, is_fskey(sk), ∀ r, str, class, st. r = jvmref ∨ (junkref(str, r, addclass(class, fis0, st)) ↔ junkref(str, r, st)) ⊦ sk .fs .class = class, junkref(str, r, addclass(class, fis0, st)) ↔ junkref(str, r, st), r = jvmref

Rule argument

[speclemmaarg: ,sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val ,[fv, sk, val] → [fv, sk, val] ,T ,pair ,fieldinit ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val])], [EXTRATERMS : (fv, sk, val)]]