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Proof step 39 from proof compatstatic-mode (previous step)

sk ∈ statfields(class), initdone(class, st), tdname∃(str, class), class∃(str, class) ∨ interface∃(str, class) → (∀ sk. sk ∈ statfields(class) → jvmref -- sk ∈ st[_mode, val] ∧ is_fskey(sk) ∧ compat(str, st[_mode, val][jvmref -- sk], sk .fs .type, st[_mode, val])) ⊦ jvmref -- sk ∈ st ∧ ¬ is_indexkey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 38:
sk .fs = mkfs(class0, ty, fieldvar), sk ∈ statfields(class), initdone(class, st), tdname∃(str, class), class∃(str, class) ∨ interface∃(str, class) → (∀ sk. sk ∈ statfields(class) → jvmref -- sk ∈ st[_mode, val] ∧ is_fskey(sk) ∧ compat(str, st[_mode, val][jvmref -- sk], sk .fs .type, st[_mode, val])) ⊦ jvmref -- sk ∈ st ∧ ¬ is_indexkey(sk) ∧ compat(str, st[jvmref -- sk], ty, st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [sk .fs, class0, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk .fs, class0, ty, fieldvar)]]