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Proof step 30 from proof validrefs-superclass (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st)
Proof step 29:
validrefs(str, r ' + acc, ty, st), ty ≤ ty0, is_obj(str, r, st) ∨ is_array(str, r, st), st[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty0, ∀ ty, ty0, str, st. ty ≤ ty0 ∧ validrefs(str, acc, ty, st) → validrefs(str, acc, ty0, st) ⊦ r = jvmref, validrefs(str, r ' + acc, ty0, st)

Rule argument

[speclemmaarg: ,is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st) ,[st, r, str] → [st, r, str] ,F ,addfuns , ,is-valid-ref-stronger-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, str)]]