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Proof step 13 from proof validfieldinits-validreflist (previous step)

¬ (validref(str, r, ty, st) ∧ ty ≤ mkclasstype(`java.lang.Object' .class)), validfieldinits(str, fis0, st), okval(refval(r), ty), type∃(str, ty), validref(str, r, ty, st), ∀ str, st. validfieldinits(str, fis0, st) → validreflist(str, mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st) ⊦ r = jvmref, validref(str, r, mkclasstype(`java.lang.Object' .class), st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
validfieldinits(str, fis0, st), okval(refval(r), ty), type∃(str, ty), validref(str, r, ty, st), ∀ str, st. validfieldinits(str, fis0, st) → validreflist(str, mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st) ⊦ r = jvmref, validref(str, r, mkclasstype(`java.lang.Object' .class), st), is_classtype(ty), is_arraytype(ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : typefuns, , subtype-object, ⊦ type∃(str, ty) → ( ty ≤ mkclasstype (`java.lang.Object' .class) ↔ is_classtype(ty) ∨ is_arraytype(ty))])]]