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Proof step 122 from proof validrefs-lastelem (previous step)

validrefs(str, r0 ' + acc, ty, st), validrefs(str, (r0 ' + acc) + r ', ty, st), ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ validrefs(str, acc + r ', ty, st) → acc = [] ∨ has_reffield(acc .last, st) ⊦ has_reffield((r0 ' + acc) .last, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ r = jvmref → (validrefs(str, r ' + refs, ty, st) ↔ refs = [])
Proof step 120:
r0 ≠ jvmref, validrefs(str, r0 ' + acc, ty, st), validrefs(str, (r0 ' + acc) + r ', ty, st), ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ validrefs(str, acc + r ', ty, st) → acc = [] ∨ has_reffield(acc .last, st) ⊦ has_reffield((r0 ' + acc) .last, st)
Proof step 121:
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []

Rule argument

[crewrite-arg: validrefs-null , F , [st, ty, refs, r, str] → [st, ty, acc, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ [] + refs = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []])], [EXTRATERMS : (st, ty, acc, r0, str)]]