Theorems · Theorem · logic and foundations
Hyperreal.exists_st_of_not_infinite
Deprecated since 2026-01-05Use ArchimedeanClass.stdPart_eq_sSup instead.
∀ {x : ℝ*}, ¬x.Infinite → ∃ r, x.IsSt r- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.ofPredproof · cited by 6,101
- SupSet.sSupproof · cited by 954
- Hyperrealstatement and proof · cited by 172
- Hyperreal.ofRealproof · cited by 68
- Hyperreal.Infinitestatement and proof · cited by 45
- Hyperreal.IsStstatement · cited by 42
- Hyperreal.isSt_sSupproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Hyperreal.not_infinite_iff_exist_lt_gtproof · cited by 1
- Hyperreal.not_infinite_mulproof · cited by 1
- Hyperreal.exists_st_iff_not_infiniteproof · cited by 1
- Hyperreal.not_infinite_addproof · cited by 1