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Proof step 7 from proof validfieldinits-rec (previous step)

sk .fs = mkfs(class, ty, fieldvar), sk0 .fs = mkfs(class0, ty0, fieldvar0), sk0 × val0 ∈ fis, ∀ sk0, val0. sk0 × val0 = sk × val ∨ sk0 × val0 ∈ fis → is_fskey(sk0) ∧ type∃(str, sk0 .fs .type) ∧ validval(str, val0, sk0 .fs .type, st) ⊦ ¬ is_indexkey(sk0) ∧ type∃(str, ty0) ∧ validval(str, val0, ty0, st)

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 4, [extquanttermlist: (sk0, val0) abort:F , discard:F , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])], [EXTRATERMS : (sk0, val0)]]