Theorems · Theorem · field theory
ArchimedeanClass.FiniteElement.val_sub
∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K]
(x y : ArchimedeanClass.FiniteElement K), ↑(x - y) = ↑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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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- OrderDualstatement · cited by 927
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- IsOrderedRingstatement and proof · cited by 777
- ArchimedeanClassstatement · cited by 247
- ValuationSubringstatement · cited by 187
- AddValuationstatement · cited by 96
- Valuation.valuationSubringstatement · cited by 56
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