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Proof step 32 from proof validref-putrkvs (previous step)

is_arraytype(st[r0 -- _type] .type), sk .fs = mkfs(class, ty0, fieldvar), okval(refval(r1), st[r0 -- _type] .type .type), validref(str, r, ty, st), validvals(str, rkvs0, st), is_indexkey(sk), validref(str, r1, st[r0 -- _type] .type .type, st), ∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]) ⊦ r0 = jvmref, validref(str, r, ty, st[r0 -- sk, refval(r1)]), validref(str, r, ty, st[r0 -- sk, refval(r1)][rkvs0]), is_arraytype(st[r0 -- _type] .type) ∧ (r1 = jvmref → is_reftype(st[r0 -- _type] .type .type))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
⊦ validref(str, jvmref, ty, st)
Proof step 31:
st[r0 -- _type] .type .type = void_type, sk .fs = mkfs(class, ty0, fieldvar), is_arraytype(st[r0 -- _type] .type), is_indexkey(sk), validvals(str, rkvs0, st), validref(str, r, ty, st), ∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]) ⊦ r0 = jvmref, validref(str, r, ty, st[r0 -- sk, refval(jvmref)][rkvs0]), validref(str, r, ty, st[r0 -- sk, refval(jvmref)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_reftype(void_type)], [CSIMPSEQ : ⊦ okval(refval(r), ty) ↔ ty = void_type ∨ is_reftype(ty)])]]