Nat.not_eq_zero_of_lt should be called Nat.ne_zero_of_lt

[Ruben-VandeVelde]

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Description

The lemma Nat.not_eq_zero_of_lt should be called Nat.ne_zero_of_lt since its conclusion is Ne:

theorem not_eq_zero_of_lt (h : b < a) : a ≠ 0 := by

Context

This would make it consistent with mathlib's _root_.ne_zero_of_lt; Zulip discussion. It should probably also be protected.

Steps to Reproduce

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Versions

Verified on commit 128a1e6; added in commit dae3489.

Additional Information

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Impact

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