Mathlib Map

Theorems · Theorem · order theory

GradeOrder.grade_strictMono

∀ {𝕆 : Type u_5} {α : Type u_6} {inst : Preorder 𝕆} {inst_1 : Preorder α} [self : GradeOrder 𝕆 α],
  StrictMono GradeOrder.grade

grade is strictly monotonic.

Defined in
Mathlib.Order.Grade
Cited by
3 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
GradeOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

grade_strictMono · cited by 7grade_strictMonoGradeOrder.wellFoundedGT · cited by 0GradeOrder.wellFoundedGTGradeOrder.wellFoundedLT · cited by 0GradeOrder.wellFoundedLTPreorder · cited by 7952PreorderStrictMono · cited by 706StrictMonoGradeOrder · cited by 17GradeOrderGradeOrder.grade · cited by 5GradeOrder.gradeGradeOrder.grade_strictMonoCITED BYCITES

Cites4

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

Cited by3

Results whose statement or proof uses this declaration.