Theorems · Theorem · field theory
ArchimedeanClass.stdPart_map_real
∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K] (f : ℝ →+*o K) (r : ℝ),
ArchimedeanClass.stdPart (f r) = r- Defined in
- Mathlib.Algebra.Order.Ring.StandardPart
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- OrderRingHomstatement and proof · cited by 132
- ArchimedeanClass.stdPartstatement · cited by 42
- OrderRingHom.compproof · cited by 15
- ArchimedeanClass.FiniteResidueField.ofArchimedeanproof · cited by 7
- Real.ringHom_applyproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Hyperreal.stdPart_coeproof · cited by 0
- ArchimedeanClass.stdPart_realproof · cited by 0