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Proof step 8 from proof validrefs-delcycle-01 (previous step)

¬ (¬ validrefs(str, r ' + refs1, st[(r ' + refs1) .first -- _type] .type, st) ∧ r ' + refs1 ≠ []), validrefs(str, (r ' + refs0) + r ' + refs1, ty, st) ⊦ validrefs(str, r ' + refs1, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
validrefs(str, (r ' + refs0) + r ' + refs1, ty, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ (r ' + refs) .first = r])]]