Theorems · Theorem · field theory
ArchimedeanClass.stdPart_ratCast
∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K] (q : ℚ),
ArchimedeanClass.stdPart ↑q = ↑q- Defined in
- Mathlib.Algebra.Order.Ring.StandardPart
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- ArchimedeanClass.stdPartstatement · cited by 42
- ArchimedeanClass.FiniteElementproof · cited by 36
- ArchimedeanClass.FiniteResidueField.mkproof · cited by 22
- ArchimedeanClass.FiniteResidueFieldproof · cited by 17
- map_ratCastproof · cited by 10
- ArchimedeanClass.mk_ratCast_nonnegproof · cited by 3
- ArchimedeanClass.stdPart_of_mk_nonnegproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ArchimedeanClass.stdPart_intCastproof · cited by 1