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Proof step 9 from proof junkrefs-union-disjoint (previous step)

¬ ¬ r -- _type ∈ st, st1 .refs ∩ st .refs = ∅, r ∈ st1, is_valid_ref(str, r, st1), st1[r -- _type] .type ≤ ty, ¬ is_valid_ref(str, r, st1 ∪ st) ∨ ¬ (st1 ∪ st)[r -- _type] .type ≤ ty ⊦ r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
st1 .refs ∩ st .refs = ∅, r -- _type ∈ st, r ∈ st1, is_valid_ref(str, r, st1), st1[r -- _type] .type ≤ ty, r ∈ st, ¬ is_valid_ref(str, r, st1 ∪ st) ∨ ¬ st[r -- _type] .type ≤ ty ⊦ r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ rk ∈ st0 → (st ∪ st0)[rk] = st0[rk]])]]