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Proof step 8 from proof compatobj-isobj (previous step)

¬ is_fskey(sk), st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, r -- _type ∈ st, class+∃(str, class), sk ∈ instfields(class), ∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st) ⊦ r = jvmref, goodfieldandtype(r, sk, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, r -- _type ∈ st, class+∃(str, class), sk ∈ instfields(class), is_indexkey(sk), ∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st) ⊦ r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ goodfieldandtype(r, sk, st)], [CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]