Theorems · Theorem · logic and foundations
Hyperreal.infinite_iff_not_exists_st
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ {x : ℝ*}, x.Infinite ↔ ¬∃ r, x.IsSt r- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- iff_not_commproof · cited by 16
- Hyperreal.exists_st_iff_not_infiniteproof · cited by 1
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