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Proof step 3 from proof delete-one-nls (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 4:
# x0 + 1 < #((a0 ' + x0) -1l a), ∀ a. ¬ # x0 < #(x0 -1l a) ⊦ a = a0, (a0 ' + x0) -1l a = []

Rule argument

fma: a = a0

Additional information

Used simplifier rules: del1-y: ⊦ (a ' + x) -1l a = x;%a: ⊦ (x + y) + z = x + y + z; from specification list%l-02: ⊦ ¬ m + n < m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2 Used formulas: a = a0