Theorems · Theorem · logic and foundations
Hyperreal.archimedeanClassMk_coe_nonneg
∀ (x : ℝ), 0 ≤ ArchimedeanClass.mk ↑x
- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- ArchimedeanClassstatement · cited by 247
- ArchimedeanClass.mkstatement · cited by 174
- Hyperrealstatement · cited by 172
- Hyperreal.ofRealstatement · cited by 68
- Hyperreal.coeRingHomproof · cited by 13
- ArchimedeanClass.mk_map_nonneg_of_archimedeanproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Hyperreal.tendsto_atBot_iffproof · cited by 0
- Hyperreal.tendsto_atTop_iffproof · cited by 0