Theorems · Theorem · order theory
Preorder.dependsOn_restrictLe
∀ {α : Type u_1} [inst : Preorder α] {π : α → Type u_2} (a : α), DependsOn (Preorder.restrictLe a) (Set.Iic a)- Defined in
- Mathlib.Order.Restriction
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses Quot.sound
- Assumes
- Preorder
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.Elemstatement · cited by 7,166
- Set.Iicstatement and proof · cited by 1,111
- DependsOnstatement · cited by 23
- Preorder.restrictLestatement · cited by 8
- Set.dependsOn_domRestrictproof · cited by 3
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