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Proof step 59 from proof validrefs-levelsubset-01 (conclusion)

⊦ level⊆(str, str0) ∧ validrefs(str0, refs, ty0, st) ∧ validref(str, refs .first, ty, st) → validrefs(str, refs, ty0, st)

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ validrefs(str, [], ty, st)
Proof step 58:
∀ str, str0, ty0, st, ty. level⊆(str, str0) ∧ validrefs(str0, refs0, ty0, st) ∧ validref(str, refs0 .first, ty, st) → validrefs(str, refs0, ty0, st) ⊦ level⊆(str, str0) ∧ validrefs(str0, r + refs0, ty0, st) ∧ validref(str, (r + refs0) .first, ty, st) → validrefs(str, r + refs0, ty0, st)

Rule argument

[VARWITHVARSEQSARG : refs, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : references generated by [], +;])]]