Theorems · Theorem · field theory
ArchimedeanClass.stdPart_inv
∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K] (x : K),
ArchimedeanClass.stdPart x⁻¹ = (ArchimedeanClass.stdPart x)⁻¹- Defined in
- Mathlib.Algebra.Order.Ring.StandardPart
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- map_mulproof · cited by 1,137
- eq_or_neproof · cited by 1,117
- map_oneproof · cited by 861
- IsOrderedRingstatement and proof · cited by 777
- neg_zeroproof · cited by 542
- Eq.geproof · cited by 375
- inv_mul_cancel₀proof · cited by 267
- ArchimedeanClassproof · cited by 247
Cited by2
Results whose statement or proof uses this declaration.
- ArchimedeanClass.stdPart_divproof · cited by 0
- Hyperreal.st_invproof · cited by 0