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Proof step 5 from proof del-length (previous step)

1 + # x0 < #((a0 ' + x0) -l a), ∀ a. # x0 < #(x0 -l a) → x0 -l a = [] ⊦ (a0 ' + x0) -l a = []

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 6:
a = a0, 1 + # x0 < #((a0 ' + x0) -l a), ∀ a. # x0 < #(x0 -l a) → x0 -l a = [] ⊦ (a0 ' + x0) -l a = []
Proof step 8:
1 + # x0 < #((a0 ' + x0) -l a), ∀ a. # x0 < #(x0 -l a) → x0 -l a = [] ⊦ (a0 ' + x0) -l a = [], a = a0

Rule argument

fma: a = a0

Additional information

Used formulas: a = a0