Theorems · Definition · order theory
OneLePart.oneLePart
{α : Type u_1} → [self : OneLePart α] → α → αThe positive part of an element a.
- Defined in
- Mathlib.Algebra.Notation
- Cited by
- 40 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- OneLePart
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- OneLePartstatement and proof · cited by 0
Cited by40
Results whose statement or proof uses this declaration.
- oneLePart_div_leOnePartstatement and proof · cited by 6
- oneLePart_defstatement · cited by 5
- oneLePart_eq_selfstatement · cited by 3
- oneLePart_mul_leOnePartstatement · cited by 2
- oneLePart_eq_onestatement · cited by 2
- oneLePart_leOnePart_injectivestatement and proof · cited by 1
- oneLePart_monostatement · cited by 1
- mabs_mul_eq_oneLePart_sqstatement and proof · cited by 1
- mabs_div_eq_leOnePart_sqproof · cited by 1
- measurable_oneLePartstatement · cited by 1
- one_le_oneLePartstatement · cited by 1
- oneLePart_inf_leOnePart_eq_onestatement and proof · cited by 0