Theorems · Theorem · field theory
ArchimedeanClass.stdPart_neg
∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K] (x : K),
ArchimedeanClass.stdPart (-x) = -ArchimedeanClass.stdPart x- Defined in
- Mathlib.Algebra.Order.Ring.StandardPart
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- IsOrderedRingstatement and proof · cited by 777
- neg_zeroproof · cited by 542
- map_negproof · cited by 378
- ArchimedeanClass.mkproof · cited by 174
- ArchimedeanClass.stdPartstatement · cited by 42
- ArchimedeanClass.FiniteElementproof · cited by 36
- ArchimedeanClass.FiniteElement.mkproof · cited by 23
- ArchimedeanClass.FiniteResidueField.mkproof · cited by 22
Cited by5
Results whose statement or proof uses this declaration.
- ArchimedeanClass.lt_of_stdPart_ltproof · cited by 2
- ArchimedeanClass.stdPart_eq_sSupproof · cited by 2
- ArchimedeanClass.stdPart_subproof · cited by 0
- ArchimedeanClass.stdPart_sub_eq_rightproof · cited by 0
- ArchimedeanClass.stdPart_nonposproof · cited by 0