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Proof step 11 from proof is_valid_ref-02 (previous step)

r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ goodfieldsandtypes(r, instfields(class), st) ⊦ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st) ∨ is_array(str, r, st) ↔ class+∃(str, class) ∧ ¬ is_abstract(class)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, r -- _type ∈ st, goodfieldsandtypes(r, instfields(class), st) ⊦ r = jvmref, class+∃(str, class) ∧ ¬ is_abstract(class) ∧ is_obj(r, st) ∨ is_array(str, r, st) ↔ class+∃(str, class) ∧ ¬ is_abstract(class)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class) .class = class], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val])]]