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Proof step 38 from proof validrefs-maxlen (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 21:
is_obj(str, r, st), validrefs(str, r ' + acc, ty, st), # st .refs < # acc, st[r -- _type] .type ≤ ty, ∀ str0, ty0, st0. validrefs(str0, acc, ty0, st0) → # acc ≤ # st0 .refs + 1 ⊦ r = jvmref, acc = [], dups(acc), r ∈ acc
Proof step 37:
is_array(str, r, st), validrefs(str, r ' + acc, ty, st), # st .refs < # acc, 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

[CASEDARG : pos: left 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]