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Proof step 24 from proof ac-lookup (previous step)

(addclass(class1, fis0, st)[jvmref -- mkfs(class1, ty, fieldvar) ']) = fis0[mkfs(class1, ty, fieldvar) '], is_indexkey(sk), mkfs(class1, ty, fieldvar) ' ∈ fis0 ⊦ fis0[mkfs(class1, ty, fieldvar) '] = ((sk × val) ' + fis0)[mkfs(class1, ty, fieldvar) ']

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,sk ≠ sk0 → ((sk0 × val) ' + fis)[sk] = fis[sk] ,[sk, fis, val, sk0] → [mkfs(class1, ty, fieldvar) ', fis0, val, sk] ,F ,assoclist ,fieldinit ,assoc-no ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ((sk × val) ' + fis)[sk] = val], [CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')])], [EXTRATERMS : (mkfs(class1, ty, fieldvar) ', fis0, val, sk)]]