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Proof step 5 from proof rmtoobigpos (previous step)

# x0 < n, ∀ n. # x0 ≤ n → x0 -p n = x0 ⊦ (a ' + x0) -p n = a ' + x0

User applied rule constructor cut

And obtained the following new goals

Proof step 6:
n = n0 +1, # x0 < n, ∀ n. # x0 ≤ n → x0 -p n = x0 ⊦ (a ' + x0) -p n = a ' + x0

Rule argument

var: n

Additional information

Used simplifier rules: delpos-base: ⊦ (a ' + x) -p 0 = x;%nat freely generated by 0, +1;;%a: ⊦ (x + y) + z = x + y + z; from specification list% ⊦ x = y + x ↔ y = []; (s)% ⊦ a ' ≠ []; (s)% ⊦ ¬ m < 0; (s)