Theorems · Definition · order theory
LeOnePart.leOnePart
{α : Type u_1} → [self : LeOnePart α] → α → αThe negative part of an element a.
- Defined in
- Mathlib.Algebra.Notation
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- LeOnePart
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.
- LeOnePartstatement and proof · cited by 0
Cited by41
Results whose statement or proof uses this declaration.
- oneLePart_div_leOnePartstatement and proof · cited by 6
- leOnePart_defstatement · cited by 5
- oneLePart_mul_leOnePartstatement and proof · cited by 2
- leOnePart_eq_invstatement · cited by 2
- leOnePart_eq_onestatement · cited by 2
- measurable_leOnePartstatement · cited by 1
- oneLePart_leOnePart_injectivestatement and proof · cited by 1
- mabs_mul_eq_oneLePart_sqproof · cited by 1
- leOnePart_antistatement · cited by 1
- leOnePart_eq_inv_inf_onestatement · cited by 1
- one_le_leOnePartstatement · cited by 1
- mabs_div_eq_leOnePart_sqstatement and proof · cited by 1