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Proof step 145 from proof validrefs-not-contains (previous step)

validrefs(str, r ' + r0 ' + refs0 + r1 ', ty, st), ∀ str0, st0, ty0. ¬ contains(str0, st0[r0 -- _type] .type, st0[r1 -- _type] .type) ∧ r0 ≠ r1 → ¬ validrefs(str0, r0 ' + refs0 + r1 ', ty0, st0) ⊦ r1 = jvmref, r = r1, contains(str, st[r -- _type] .type, st[r1 -- _type] .type)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 52:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 144:
¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)), validrefs(str, r ' + r0 ' + refs0 + r1 ', ty, st), ∀ str0, st0, ty0. ¬ contains(str0, st0[r0 -- _type] .type, st0[r1 -- _type] .type) ∧ r0 ≠ r1 → ¬ validrefs(str0, r0 ' + refs0 + r1 ', ty0, st0) ⊦ r1 = jvmref, r = r1, contains(str, st[r -- _type] .type, st[r1 -- _type] .type)

Rule argument

[speclemmaarg: , r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st) ,[st, ty, refs, r, str] → [st, ty, r0 ' + refs0 + r1 ', r, str] ,F ,cyclic , ,validrefs-is-junk ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r0 ' + refs0 + r1 ', r, str)]]