Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Jump to bottom

[Merged by Bors] - feat(data/nat/basic): succ_lt_succ_iff #5422

Closed
wants to merge 2 commits into from
Closed

[Merged by Bors] - feat(data/nat/basic): succ_lt_succ_iff #5422

Changes from all commits
Commits
Show all changes
2 commits
Select commit Hold shift + click to select a range
266e370
feat(data/nat/basic): succ_lt_succ_iff
pechersky Dec 18, 2020
35d355b
Update src/data/nat/basic.lean
pechersky Dec 18, 2020
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
3 changes: 3 additions & 0 deletions src/data/nat/basic.lean
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -265,6 +265,9 @@ by simp only [add_comm, add_one_le_iff]
theorem of_le_succ {n m : ℕ} (H : n ≤ m.succ) : n ≤ m ∨ n = m.succ :=
(lt_or_eq_of_le H).imp le_of_lt_succ id

lemma succ_lt_succ_iff {m n : ℕ} : succ m < succ n ↔ m < n :=
⟨lt_of_succ_lt_succ, succ_lt_succ⟩

/-! ### `add` -/

-- Sometimes a bare `nat.add` or similar appears as a consequence of unfolding
Expand Down