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Proof step 20 from proof validrefs-levelsubset (previous step)

¬ (is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty0), level⊆(str, str0), validrefs(str, r ' + acc, ty0, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty0, ∀ str, ty0, st, str0. validrefs(str, acc, ty0, st) ∧ level⊆(str, str0) → validrefs(str0, acc, ty0, st) ⊦ r = jvmref, validrefs(str0, r ' + acc, ty0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
st[r -- _type] .type ≤ ty0, level⊆(str, str0), validrefs(str, r ' + acc, ty0, st), is_obj(str, r, st), ∀ str, ty0, st, str0. validrefs(str, acc, ty0, st) ∧ level⊆(str, str0) → validrefs(str0, acc, ty0, st) ⊦ r = jvmref, validrefs(str0, r ' + acc, ty0, st)

Rule argument

[emptyarg]

Additional information

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