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Proof step 21 from proof isobj-subset (previous step)

st[r -- _type] = typeval(mkclasstype(class)), st1[r -- _type] = typeval(mkclasstype(class)), r ∈ st1, r ∈ st, r -- _type ∈ st1, r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ goodfieldsandtypes(r, instfields(class), st), r -- _type ∈ st, ∀ rk. rk ∈ st → rk ∈ st1 ∧ st[rk] = st1[rk] ⊦ r = jvmref, goodfieldsandtypes(r, instfields(class), st1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
st[r -- _type] = typeval(mkclasstype(class)), st1[r -- _type] = typeval(mkclasstype(class)), r ∈ st1, r ∈ st, r -- _type ∈ st1, goodfieldsandtypes(r, instfields(class), st), r -- _type ∈ st, ∀ rk. rk ∈ st → rk ∈ st1 ∧ st[rk] = st1[rk] ⊦ r = jvmref, goodfieldsandtypes(r, instfields(class), st1)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val])]]