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Proof step 39 from proof validrefs-maxlen (previous step)

validrefs(str, r ' + acc, ty, st), # st .refs < # acc, is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ str0, ty0, st0. validrefs(str0, acc, ty0, st0) → # acc ≤ # st0 .refs + 1 ⊦ r = jvmref, acc = [], dups(acc), r ∈ acc

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st)
Proof step 38:
validrefs(str, r ' + acc, ty, st), # st .refs < # acc, is_obj(str, r, st) ∨ is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ str0, ty0, st0. validrefs(str0, acc, ty0, st0) → # acc ≤ # st0 .refs + 1 ⊦ r = jvmref, acc = [], dups(acc), r ∈ acc

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)]]