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Proof step 5 from proof validrefs-nopathex (previous step)

validrefs(str, (r ' + refs1 + r0 ') + refs0, ty, st), validrefs(str, (r ' + refs1 + r0 ') + refs0, st[r -- _type] .type, st) ⊦ r0 ∈ refs1, validrefs(str, r ' + refs1 + r0 ', st[r -- _type] .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ¬ validrefs(str, refs, ty, st) → ¬ validrefs(str, refs + refs0, ty, st)

Rule argument

[crewrite-arg: validrefs-prefix , F , [st, ty, refs0, refs, str] → [st, st[r -- _type] .type, refs0, r ' + refs1 + r0 ', str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (st, st[r -- _type] .type, refs0, r ' + refs1 + r0 ', str)]]