Theorems · Theorem · order theory
lowerClosure_one
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : Preorder α], lowerClosure 1 = 1- Defined in
- Mathlib.Algebra.Order.UpperLower
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- CommGroupstatement and proof · cited by 990
- LowerSetstatement · cited by 230
- lowerClosurestatement · cited by 83
- Set.onestatement · cited by 54
- lowerClosure_singletonproof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.