Theorems · Inductive type · order theory
GradeBoundedOrder
(𝕆 : Type u_5) → (α : Type u_6) → [Preorder 𝕆] → [Preorder α] → Type (max u_5 u_6)
An 𝕆-graded order where minimal elements have minimal grades and maximal elements have maximal
grades.
- Defined in
- Mathlib.Order.Grade
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement · cited by 7,952
Cited by9
Results whose statement or proof uses this declaration.
- GradeBoundedOrder.mk.noConfusionstatement · cited by 0
- GradeBoundedOrder.casesOnstatement and proof · cited by 0
- GradeBoundedOrder.ctorIdxstatement and proof · cited by 0
- GradeBoundedOrder.isMax_gradestatement and proof · cited by 0
- GradeBoundedOrder.liftLeftstatement and proof · cited by 0
- GradeBoundedOrder.liftRightstatement and proof · cited by 0
- GradeBoundedOrder.noConfusionstatement and proof · cited by 0
- GradeBoundedOrder.noConfusionTypestatement and proof · cited by 0
- GradeBoundedOrder.recOnstatement and proof · cited by 0