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Proof step 5 from proof validref-put-array-any (previous step)

¬ ( validref(str, r, ty, st) ∧ validref(str, val .refval, st[r0 -- _type] .type .type, st) ∧ is_referencevalue(val) ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) ∧ (val .refval = jvmref → is_reftype(st[r0 -- _type] .type .type))), validref(str, r, ty, st), ¬ is_referencevalue(val) → okval(val, st[r0 -- _type] .type .type), is_referencevalue(val) → validref(str, val .refval, st[r0 -- _type] .type .type, st) ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) ∧ (val .refval = jvmref → is_reftype(st[r0 -- _type] .type .type)) ⊦ validref(str, r, ty, st[r0 -- i ', val]), ¬ is_referencevalue(val) ∧ okval(val, st[r0 -- _type] .type .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
validref(str, r, ty, st), ¬ is_referencevalue(val) → okval(val, st[r0 -- _type] .type .type), is_referencevalue(val) → validref(str, val .refval, st[r0 -- _type] .type .type, st) ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) ∧ (val .refval = jvmref → is_reftype(st[r0 -- _type] .type .type)) ⊦ validref(str, r, ty, st[r0 -- i ', val]), ¬ is_referencevalue(val) ∧ okval(val, st[r0 -- _type] .type .type), validref(str, val .refval, st[r0 -- _type] .type .type, st) ∧ is_referencevalue(val) ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) ∧ (val .refval = jvmref → is_reftype(st[r0 -- _type] .type .type))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]