Theorems · Theorem · logic and foundations
Hyperreal.exists_st_iff_not_infinite
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ {x : ℝ*}, (∃ r, x.IsSt r) ↔ ¬x.Infinite- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Hyperrealstatement and proof · cited by 172
- Hyperreal.Infinitestatement · cited by 45
- Hyperreal.IsStstatement · cited by 42
- Hyperreal.exists_st_of_not_infiniteproof · cited by 4
- Hyperreal.not_infinite_of_exists_stproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Hyperreal.infinite_iff_not_exists_stproof · cited by 0