Mathlib Map

Theorems · Theorem · order theory

le_rfl

∀ {α : Type u_1} [inst : Preorder α] {a : α}, a ≤ a

A version of le_refl where the argument is implicit

Defined in
Mathlib.Order.Defs.PartialOrder
Cited by
1,558 results in Mathlib
Foundations
Depth 4 from the axioms, rests on 4 definitions · uses no axioms
Assumes
Preorder

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Preorderstatement and proof · cited by 7,952
  • le_reflproof · cited by 2,061

Cited by1,566

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 1,566.