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Proof step 13 from proof okstore-mode (previous step)

okstore(st), jvmref ∈ st ⊦ is_javastore(st[_mode, val]) ∧ (∀ r. r ≠ jvmref ∧ r ∈ st[_mode, val] → r -- _type ∈ st[_mode, val] ∧ is_typevalue(st[_mode, val][r -- _type]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ r ∈ st ∧ okstore(st) ∧ r ≠ jvmref → r -- _type ∈ st
Proof step 12:
okstore(st), jvmref ∈ st ⊦ is_javastore(st[_mode, val]) ∧ (r ≠ jvmref ∧ r ∈ st → is_typevalue(st[r -- _type]))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[_mode, val][r -- _type]) = st[r -- _type]], [CSIMPSEQ : ⊦ r -- _type ∈ st[_mode, val] ↔ r -- _type ∈ st], [CSIMPSEQ : ⊦ r ≠ jvmref → (r ∈ st[_mode, val] ↔ r ∈ st)])]]