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Proof step 116 from proof validval-put-any (previous step)

val = refval(r2), sk .fs = mkfs(class, ty, fieldvar), sk0 .fs = mkfs(class0, ty0, fieldvar0), validref(str, r0, st[r -- _type] .type .type, st), okval(refval(r0), st[r -- _type] .type .type), is_indexkey(sk), is_indexkey(sk0), okval(val, st[r1 -- _type] .type .type), is_referencevalue(val), validrefval(str, val, st[r1 -- _type] .type .type, st), r ≠ r1 ∨ _type ≠ sk0 ⊦ validref(str, r0, st[r -- _type] .type .type, st[r1 -- sk0, val]), validref(str, r2, st[r1 -- _type] .type .type, st) ∧ r1 ≠ jvmref ∧ is_arraytype(st[r1 -- _type] .type) ∧ (r2 = jvmref → is_reftype(st[r1 -- _type] .type .type))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 95:
⊦ validrefval(str, refval(r), ty, st) ↔ validref(str, r, ty, st)
Proof step 115:
sk .fs = mkfs(class, ty, fieldvar), sk0 .fs = mkfs(class0, ty0, fieldvar0), validref(str, r0, st[r -- _type] .type .type, st), okval(refval(r0), st[r -- _type] .type .type), is_indexkey(sk), is_indexkey(sk0), okval(refval(r2), st[r1 -- _type] .type .type), validref(str, r2, st[r1 -- _type] .type .type, st), r ≠ r1 ∨ _type ≠ sk0 ⊦ validref(str, r0, st[r -- _type] .type .type, st[r1 -- sk0, refval(r2)]), r1 ≠ jvmref ∧ is_arraytype(st[r1 -- _type] .type) ∧ (r2 = jvmref → is_reftype(st[r1 -- _type] .type .type))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]