Theorems · Theorem · field theory
ArchimedeanClass.stdPart_monotoneOn
∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K],
MonotoneOn ArchimedeanClass.stdPart {x | 0 ≤ ArchimedeanClass.mk x}- Defined in
- Mathlib.Algebra.Order.Ring.StandardPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Set.ofPredstatement and proof · cited by 6,101
- IsOrderedRingstatement and proof · cited by 777
- MonotoneOnstatement · cited by 311
- ArchimedeanClassstatement · cited by 247
- ArchimedeanClass.mkstatement and proof · cited by 174
- ArchimedeanClass.stdPartstatement · cited by 42
- ArchimedeanClass.FiniteElement.mkproof · cited by 23
- ArchimedeanClass.FiniteResidueField.mkproof · cited by 22
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.