Theorems · Theorem · order theory
upperClosure_zero
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : Preorder α], upperClosure 0 = 0- Defined in
- Mathlib.Algebra.Order.UpperLower
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommGroupPreorder
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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
- AddCommGroupstatement and proof · cited by 12,871
- Preorderstatement and proof · cited by 7,952
- UpperSetstatement · cited by 245
- Set.zerostatement · cited by 87
- upperClosurestatement · cited by 84
- upperClosure_singletonproof · cited by 8
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