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Theorems · Definition · order theory

GradeOrder.grade

{𝕆 : Type u_5} → {α : Type u_6} → {inst : Preorder 𝕆} → {inst_1 : Preorder α} → [self : GradeOrder 𝕆 α] → α → 𝕆

The grading function.

Defined in
Mathlib.Order.Grade
Cited by
5 results in Mathlib
Foundations
Depth 2 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 · cited by 24gradeGradeOrder.grade_strictMono · cited by 3GradeOrder.grade_strictMo…GradeMaxOrder.isMax_grade · cited by 1GradeMaxOrder.isMax_gradeGradeMinOrder.isMin_grade · cited by 1GradeMinOrder.isMin_gradeGradeOrder.covBy_grade · cited by 1GradeOrder.covBy_gradeGradeBoundedOrder.casesOn · cited by 0GradeBoundedOrder.casesOnGradeBoundedOrder.isMax_grade · cited by 0GradeBoundedOrder.isMax_g…GradeBoundedOrder.noConfusion · cited by 0GradeBoundedOrder.noConfu…GradeBoundedOrder.noConfusionType · cited by 0GradeBoundedOrder.noConfu…GradeBoundedOrder.recOn · cited by 0GradeBoundedOrder.recOnGradeMaxOrder.casesOn · cited by 0GradeMaxOrder.casesOnGradeMaxOrder.noConfusion · cited by 0GradeMaxOrder.noConfusionGradeMaxOrder.noConfusionType · cited by 0GradeMaxOrder.noConfusion…GradeMaxOrder.recOn · cited by 0GradeMaxOrder.recOnGradeMinOrder.casesOn · cited by 0GradeMinOrder.casesOnPreorder · cited by 7952PreorderGradeOrder · cited by 17GradeOrderGradeOrder.gradeCITED BYCITES

Cites2

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

Cited by21

Results whose statement or proof uses this declaration.