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Proof step 9 from proof max-in (previous step)

∀ x0. # x0 < # (i + x1) → (true → x0 = [] ∨ max(x0) ∈ x0) ⊦ max(i ' + x1) = i, max(i ' + x1) ∈ x1

User applied rule constructor cut

And obtained the following new goals

Proof step 1:
⊦ max(i ') = i
Proof step 8:
x1 = i0 + x, ∀ x0. # x0 < # (i + x1) → (true → x0 = [] ∨ max(x0) ∈ x0) ⊦ max(i ' + x1) = i, max(i ' + x1) ∈ x1

Rule argument

[var-arg: x1]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : list generated by [], +;], [CSIMPSEQ : ⊦ x + [] = x], [CSIMPSEQ : ⊦ (x + y) + z = x + y + z])]]