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You are right that the analogue theorem in Lean Core is called Nat.le_of_succ_le_succ, so it would be better if the NNG renamed this lemma (which you proved in Level Inequality 9) from succ_le_succ to le_of_succ_le_succ to match the actual name in Lean!
If you want to make a PR, please do! Otherwise I'll just leave this open until I do the next cleanup round.
In the Advanced Multiplication World, Level 4/10, the description of the succ_le_succ theorem is described as
(x y : ℕ) (hx : MyNat.succ x ≤ MyNat.succ y) : x ≤ y
succ_le_succ x y is a proof that if succ x ≤ succ y then x ≤ y.
However, when applying the theorem, it instead mimics the rule found at (https://lovettsoftware.com/NaturalNumbers/InequalityWorld/Level8.lean.html):
For all naturals a and b, if a ≤ b, then succ a ≤ succ b.
In short, when applying it to
succ 0 ≤ succ a_1
I get
succ (succ 0) ≤ succ (succ a_1)
instead of
0 ≤ a_1
I do not know which is the intended solution but at least I am confused from reading the help.
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