Theorems · Inductive type · order theory

IsTrans

(α : Sort u_1) → (α → α → Prop) → Prop

IsTrans X r means the binary relation r on X is transitive.

Defined in: Mathlib.Order.Defs.Unbundled
Cited by: 157 results in Mathlib
Foundations: Depth 0 from the axioms, rests on 1 definitions · uses no axioms

Around this declaration

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

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

Nothing in Mathlib beyond the foundations.

Results whose statement or proof uses this declaration.