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Proof step 37 from proof validrefs-trans-01 (previous step)

¬ (is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty), validrefs(str, r ' + acc, ty, st), validrefs(str, acc .last ' + refs1, ty0, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ str0, ty1, st0, refs, ty2. validrefs(str0, acc, ty1, st0) ∧ validrefs(str0, acc .last ' + refs, ty2, st0) → validrefs(str0, acc + refs, ty1, st0) ⊦ acc = [], r = jvmref, validrefs(str, (r ' + acc) + refs1, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
st[r -- _type] .type ≤ ty, validrefs(str, r ' + acc, ty, st), validrefs(str, acc .last ' + refs1, ty0, st), is_array(str, r, st), ∀ str0, ty1, st0, refs, ty2. validrefs(str0, acc, ty1, st0) ∧ validrefs(str0, acc .last ' + refs, ty2, st0) → validrefs(str0, acc + refs, ty1, st0) ⊦ acc = [], r = jvmref, validrefs(str, (r ' + acc) + refs1, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_array(str, r, st) → ¬ is_obj(str, r, st)], [CSIMPSEQ : ⊦ ¬ is_obj(str, r, st) → ( is_valid_ref(str, r, st) ↔ is_array(str, r, st))])]]