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Proof step 5 from proof validref-intarray-put-01 (previous step)

¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ mkarraytype(int_type))), validref(str, r, ty, st), validref(str, r0, mkarraytype(int_type), st) ⊦ validref(str, r, ty, st[r0 -- i ', intval(j)]), okval(intval(j), st[r0 -- _type] .type .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
validref(str, r, ty, st), validref(str, r0, mkarraytype(int_type), st) ⊦ validref(str, r, ty, st[r0 -- i ', intval(j)]), okval(intval(j), st[r0 -- _type] .type .type), r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st) ∨ ¬ is_arraytype(st[r0 -- _type] .type) ∨ st[r0 -- _type] .type .type ≠ int_type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≤ int_type ↔ ty = int_type], [CSIMPSEQ : ⊦ ty0 ≤ mkarraytype(ty) ↔ is_arraytype(ty0) ∧ ty0 .type ≤ ty])]]