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Theorems · Theorem · order theory

GradeOrder.covBy_grade

∀ {𝕆 : Type u_5} {α : Type u_6} {inst : Preorder 𝕆} {inst_1 : Preorder α} [self : GradeOrder 𝕆 α] ⦃a b : α⦄,
  a ⋖ b → GradeOrder.grade a ⋖ GradeOrder.grade b

grade preserves CovBy.

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

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

CovBy.grade · cited by 2CovBy.gradePreorder · cited by 7952PreorderCovBy · cited by 290CovByGradeOrder · cited by 17GradeOrderGradeOrder.grade · cited by 5GradeOrder.gradeGradeOrder.covBy_gradeCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.