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Proof step 64 from proof validrefs-trans-01 (previous step)

validrefs(str, r ' + acc, ty, st), validrefs(str, (r ' + acc) .last ' + refs1, ty0, st), ∀ str, ty, st, refs1, ty0. validrefs(str, acc, ty, st) ∧ validrefs(str, acc .last ' + refs1, ty0, st) → acc = [] ∨ validrefs(str, acc + refs1, ty, st) ⊦ validrefs(str, (r ' + acc) + refs1, ty, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 11:
acc = [], validrefs(str, r ' + acc, ty, st), validrefs(str, (r ' + acc) .last ' + refs1, ty0, st), ∀ str, ty, st, refs1, ty0. validrefs(str, acc, ty, st) ∧ validrefs(str, acc .last ' + refs1, ty0, st) → acc = [] ∨ validrefs(str, acc + refs1, ty, st) ⊦ validrefs(str, (r ' + acc) + refs1, ty, st)
Proof step 63:
validrefs(str, r ' + acc, ty, st), validrefs(str, (r ' + acc) .last ' + refs1, ty0, st), ∀ str, ty, st, refs1, ty0. validrefs(str, acc, ty, st) ∧ validrefs(str, acc .last ' + refs1, ty0, st) → acc = [] ∨ validrefs(str, acc + refs1, ty, st) ⊦ acc = [], validrefs(str, (r ' + acc) + refs1, ty, st)

Rule argument

[fma-arg: acc = []]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (acc = [])]]