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Proof step 14 from proof isobj-subset (previous step)

is_fskey(sk), st1[r -- _type] = typeval(mkclasstype(class)), st[r -- _type] = typeval(mkclasstype(class)), r -- _type ∈ st, r -- _type ∈ st1, r ∈ st, r ∈ st1, sk ∈ instfields(class), goodfieldandtype(r, sk, st), ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, st), ∀ rk. rk ∈ st → rk ∈ st1 ∧ st[rk] = st1[rk] ⊦ r = jvmref, r -- sk ∈ st1 ∧ okval(st1[r -- sk], sk .fs .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st1[r -- _type] = typeval(mkclasstype(class)), st[r -- _type] = typeval(mkclasstype(class)), is_fskey(sk), r -- _type ∈ st, r -- _type ∈ st1, r ∈ st, r ∈ st1, sk ∈ instfields(class), r -- sk ∈ st, okval(st[r -- sk], sk .fs .type), ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, st), ∀ rk. rk ∈ st → rk ∈ st1 ∧ st[rk] = st1[rk] ⊦ r = jvmref, r -- sk ∈ st1 ∧ okval(st1[r -- sk], sk .fs .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(sk) → ( goodfieldandtype(r, sk, st) ↔ r -- sk ∈ st ∧ okval (st[r -- sk], sk .fs .type))])]]