Theorems · Theorem · order theory
ne_of_irrefl
∀ {α : Sort u_1} {r : α → α → Prop} [Std.Irrefl r] {x y : α}, r x y → x ≠ y- Defined in
- Mathlib.Order.Defs.Unbundled
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Std.Irrefl
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- irreflproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- List.Pairwise.nodupproof · cited by 3