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Proof step 69 from proof compatstatic-mode (previous step)

sk ∈ statfields(class), initdone(class, st), ∀ sk. sk ∈ statfields(class) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st), class∃(str, class) ∨ interface∃(str, class) ⊦ (sk = mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∨ jvmref -- sk ∈ st) ∧ ¬ is_indexkey(sk) ∧ compat(str, st[_mode, val][jvmref -- sk], sk .fs .type, st[_mode, val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 68:
sk .fs = mkfs(class0, ty, fieldvar), sk ∈ statfields(class), initdone(class, st), ∀ sk. sk ∈ statfields(class) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st), class∃(str, class) ∨ interface∃(str, class) ⊦ (sk = mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∨ jvmref -- sk ∈ st) ∧ ¬ is_indexkey(sk) ∧ compat(str, st[_mode, val][jvmref -- sk], ty, st[_mode, val])

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)]]