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Proof step 6 from proof ac-in-11 (previous step)

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

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 4, [extquanttermlist: (sk, r, class, st) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')])], [EXTRATERMS : (sk, r, class, st)]]