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Proof step 13 from proof isarray-put-okval (previous step)

okval(val, st[r -- _type] .type .type), is_array(r, st) ⊦ r ≠ jvmref ∧ r -- _type ∈ st[r -- i ', val] ∧ is_typevalue(st[r -- i ', val][r -- _type]) ∧ is_arraytype((st[r -- i ', val][r -- _type]) .type) ∧ okarray(r, (st[r -- i ', val][r -- _type]) .type .type, st[r -- i ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ ¬ is_array(jvmref, st)
Proof step 3:
⊦ ¬ r -- _type ∈ st → ¬ is_array(r, st)
Proof step 4:
⊦ ¬ is_arraytype(st[r -- _type] .type) → ¬ is_array(r, st)
Proof step 12:
okval(val, st[r -- _type] .type .type), is_array(r, st), is_arraytype(st[r -- _type] .type), r -- _type ∈ st, is_typevalue(st[r -- _type]), r ∈ st ⊦ r = jvmref, okarray(r, st[r -- _type] .type .type, st[r -- i ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ ¬ is_arraytype(void_type)], [CSIMPSEQ : ⊦ ¬ is_typevalue(val) → val .type = void_type], [CSIMPSEQ : ⊦ (st[r -- i ', val][r0 -- _type]) = st[r0 -- _type]], [CSIMPSEQ : ⊦ r -- _type ∈ st[r0 -- i ', val0] ↔ r -- _type ∈ st])]]