Theorems · Theorem · order theory
grade_covBy_grade_iff
∀ {𝕆 : Type u_1} {α : Type u_3} [inst : Preorder 𝕆] [inst_1 : LinearOrder α] [inst_2 : GradeOrder 𝕆 α] {a b : α},
grade 𝕆 a ⋖ grade 𝕆 b ↔ a ⋖ b- Defined in
- Mathlib.Order.Grade
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Preorderstatement and proof · cited by 7,952
- CovBystatement and proof · cited by 290
- gradestatement and proof · cited by 24
- GradeOrderstatement and proof · cited by 17
- grade_lt_grade_iffproof · cited by 1
- covBy_iff_lt_covBy_gradeproof · cited by 1
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