Theorems · Inductive type · order theory
GradeMinOrder
(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.
- Defined in
- Mathlib.Order.Grade
- Cited by
- 5 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 by21
Results whose statement or proof uses this declaration.
- IsMin.gradestatement and proof · cited by 2
- GradeMinOrder.isMin_gradestatement and proof · cited by 1
- grade_botstatement and proof · cited by 1
- GradeBoundedOrder.casesOnstatement and proof · cited by 0
- GradeBoundedOrder.liftLeftproof · cited by 0
- GradeBoundedOrder.liftRightproof · cited by 0
- GradeBoundedOrder.noConfusionproof · cited by 0
- GradeBoundedOrder.noConfusionTypeproof · cited by 0
- GradeBoundedOrder.recOnstatement and proof · cited by 0
- isMin_grade_iffstatement and proof · cited by 0
- GradeMinOrder.casesOnstatement and proof · cited by 0
- GradeMinOrder.ctorIdxstatement and proof · cited by 0