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Proof step 2 from proof rmpos-size (previous step)

n < # x ⊦ #(x -p n) = # x - 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
n < # x ⊦ #(x -p n) = # x - 1, x = []

Rule argument

Additional information

Used simplifier rules: ⊦ # x = 0 ↔ x = []; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic