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Proof step 63 from proof compatstatic-mode (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 62:
jvmref -- mkfs(class0, ty, fieldvar) ' ∈ st, initdone(class, st), mkfs(class0, ty, fieldvar) ' ∈ statfields(class), jvmref ∈ st, compat(str, st[jvmref -- mkfs(class0, ty, fieldvar) '], ty, st), class∃(str, class) ∨ interface∃(str, class), ∀ sk. sk ∈ statfields(class) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st) ⊦ compat(str, st[_mode, val][jvmref -- mkfs(class0, ty, fieldvar) '], ty, st[_mode, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')])]]