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Proof step 84 from proof junkref-subspec-samesubclasses (previous step)

¬ (r ≠ jvmref ∧ ¬ is_valid_ref(str0, r, st)), junkrefs(str, r ' + refs0, st[r -- _type] .type, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), ∀ str0, str, r, st, refs. # refs < # refs0 → ( same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r ' + refs, st[r -- _type] .type, st) → junkref(str0, r, st)) ⊦ junkref(str0, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 83:
junkrefs(str, r ' + refs0, st[r -- _type] .type, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), is_valid_ref(str0, r, st), ∀ str0, str, r, st, refs. # refs < # refs0 → ( same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r ' + refs, st[r -- _type] .type, st) → junkref(str0, r, st)) ⊦ r = jvmref, junkref(str0, r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ ¬ junkrefs (str, jvmref ' + refs, ty, st)])]]