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Proof step 139 from proof compat-addclass (previous step)

st[r -- _type] = typeval(mkclasstype(class0)), fis .keys = statfields(class), compatmode(str, st), compatstatic(str, st), okfieldinits(class, fis), r -- _type ∈ st, r ∈ st, compatfields(str, r, instfields(class0), st), class+∃(str, class0) ⊦ r = jvmref, ∀ sk. sk ∈ instfields(class0) → r -- sk ∈ addclass(class, fis, st) ∧ is_fskey(sk) ∧ compat(str, addclass(class, fis, st)[r -- sk], sk .fs .type, addclass(class, fis, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 138:
st[r -- _type] = typeval(mkclasstype(class0)), fis .keys = statfields(class), sk ∈ instfields(class0), compatmode(str, st), compatstatic(str, st), okfieldinits(class, fis), r -- _type ∈ st, r ∈ st, compatfields(str, r, instfields(class0), st), class+∃(str, class0) ⊦ r = jvmref, r -- sk ∈ addclass(class, fis, st) ∧ ¬ is_indexkey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, addclass(class, fis, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : r ≠ jvmref ⊦ (addclass(class1, fis, st) [r -- sk ] ) = st[r -- sk]], [CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]