Theorems · Theorem · field theory
ArchimedeanClass.FiniteElement.mk_add_mk
∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K] (x y : K)
(hx : 0 ≤ ArchimedeanClass.mk x) (hy : 0 ≤ ArchimedeanClass.mk y),
ArchimedeanClass.FiniteElement.mk x hx + ArchimedeanClass.FiniteElement.mk y hy =
ArchimedeanClass.FiniteElement.mk (x + y) ⋯- Defined in
- Mathlib.Algebra.Order.Ring.StandardPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- LE.le.transstatement · cited by 3,151
- IsOrderedRingstatement and proof · cited by 777
- ArchimedeanClassstatement · cited by 247
- ArchimedeanClass.mkstatement and proof · cited by 174
- ArchimedeanClass.FiniteElementstatement · cited by 36
- ArchimedeanClass.FiniteElement.mkstatement · cited by 23
- le_minstatement · cited by 21
- ArchimedeanClass.min_le_mk_addstatement · cited by 5
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