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Theorems · Theorem · order theory

IsMax.grade

∀ (𝕆 : Type u_1) {α : Type u_3} [inst : Preorder 𝕆] [inst_1 : Preorder α] [inst_2 : GradeMaxOrder 𝕆 α] {a : α},
  IsMax a → IsMax (grade 𝕆 a)
Defined in
Mathlib.Order.Grade
Cited by
2 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
PreorderPreorderGradeMaxOrder
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Around this declaration

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

isMax_grade_iff · cited by 0isMax_grade_iffgrade_top · cited by 0grade_topPreorder · cited by 7952PreorderIsMax · cited by 372IsMaxgrade · cited by 24gradeGradeMaxOrder · cited by 4GradeMaxOrderGradeMaxOrder.isMax_grade · cited by 1GradeMaxOrder.isMax_gradeIsMax.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.