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Proof step 45 from proof validrefs-contains-null (previous step)

validrefs(str, refs + jvmref ' + refs0, ty, st) ⊦ validrefs(str, refs + jvmref ', ty, st) ∧ refs0 = []

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []
Proof step 2:
⊦ validrefs(str, jvmref ', ty, st)
Proof step 44:
∀ str, refs0, ty, st. validrefs(str, acc + jvmref ' + refs0, ty, st) → validrefs(str, acc + jvmref ', ty, st) ∧ refs0 = [], validrefs(str, (r + acc) + jvmref ' + refs0, ty, st) ⊦ validrefs(str, (r + acc) + jvmref ', ty, st) ∧ refs0 = []

Rule argument

[VARWITHVARSEQSARG : refs, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : references generated by [], +;], [CSIMPSEQ : ⊦ [] + refs = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]