Theorems · Theorem · order theory
GradeBoundedOrder.isMax_grade
∀ {𝕆 : Type u_5} {α : Type u_6} {inst : Preorder 𝕆} {inst_1 : Preorder α} [self : GradeBoundedOrder 𝕆 α] ⦃a : α⦄,
IsMax a → IsMax (GradeOrder.grade a)Maximal elements have maximal grades.
- Defined in
- Mathlib.Order.Grade
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- GradeBoundedOrder
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- IsMaxstatement · cited by 372
- GradeOrder.gradestatement · cited by 5
- GradeBoundedOrderstatement and proof · cited by 1
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