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Proof step 10 from proof ac-lookup-05 (previous step)

is_indexkey(sk), ∀ sk0, class0, st0, r0. ¬ is_fskey(sk0) → (addclass(class0, fis0, st0)[r0 -- sk0]) = st0[r0 -- sk0] ⊦ (((r = jvmref ∧ sk = mkfs(class, ty, fieldvar) ') ⊃ val; addclass(class, fis0, st)[r -- sk])) = st[r -- sk]

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 9:
r ≠ jvmref ∨ sk ≠ mkfs(class, ty, fieldvar) ', is_indexkey(sk), ∀ sk0, class0, st0, r0. ¬ is_fskey(sk0) → (addclass(class0, fis0, st0)[r0 -- sk0]) = st0[r0 -- sk0] ⊦ (addclass(class, fis0, st)[r -- sk]) = st[r -- sk]

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')])]]