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Proof step 123 from proof validrefs-lastelem (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 122:
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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]