Mathlib Map

Theorems · Theorem · order theory

CovBy.grade

∀ (𝕆 : Type u_1) {α : Type u_3} [inst : Preorder 𝕆] [inst_1 : Preorder α] [inst_2 : GradeOrder 𝕆 α] {a b : α},
  a ⋖ b → grade 𝕆 a ⋖ grade 𝕆 b
Defined in
Mathlib.Order.Grade
Cited by
2 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
PreorderPreorderGradeOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

covBy_iff_lt_covBy_grade · cited by 1covBy_iff_lt_covBy_gradeGradeMinOrder.exists_nat_orderEmbedding_of_forall_covby_finite · cited by 0GradeMinOrder.exists_nat_…Preorder · cited by 7952PreorderCovBy · cited by 290CovBygrade · cited by 24gradeGradeOrder · cited by 17GradeOrderGradeOrder.covBy_grade · cited by 1GradeOrder.covBy_gradeCovBy.gradeCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.