Theorems · Theorem · order theory
Set.neg_Iic
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : PartialOrder α] [IsOrderedAddMonoid α] (a : α),
-Set.Iic a = Set.Ici (-a)- Cited by
- 8 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- PartialOrderstatement and proof · cited by 6,410
- Set.extproof · cited by 2,266
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Iicstatement · cited by 1,111
- Set.Icistatement · cited by 1,070
- Set.negstatement · cited by 168
- neg_leproof · cited by 27
Cited by8
Results whose statement or proof uses this declaration.
- Set.neg_Iccproof · cited by 6
- integral_comp_absproof · cited by 2
- Set.neg_Iocproof · cited by 2
- MeasureTheory.tendsto_limUnder_of_hasDerivAt_of_integrableOn_Iicproof · cited by 1
- MeasureTheory.IntegrableOn.comp_neg_Iciproof · cited by 1
- Set.image_neg_Iicproof · cited by 0
- Set.image_const_sub_Iicproof · cited by 0