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Proof step 20 from proof compatobj-isobj (previous step)

st[r -- _type] = typeval(mkclasstype(class)), class+∃(str, class), compatfields(str, r, instfields(class), st), r -- _type ∈ st, r ∈ st ⊦ r = jvmref, goodfieldsandtypes(r, instfields(class), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ compatfields(str, r, sks, st) ↔ (∀ sk. sk ∈ sks → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st))
Proof step 19:
st[r -- _type] = typeval(mkclasstype(class)), class+∃(str, class), ∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st), r -- _type ∈ st, r ∈ st ⊦ r = jvmref, goodfieldsandtypes(r, instfields(class), st)

Rule argument

[crewrite-arg: fields-compat , F , [st, sks, r, str] → [st, instfields(class), r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, instfields(class), r, str)]]