Theorems · Theorem · logic and foundations
Hyperreal.IsSt.not_infinite
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ {x : ℝ*} {r : ℝ}, x.IsSt r → ¬x.Infinite- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 114 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
- Hyperrealstatement and proof · cited by 172
- one_posproof · cited by 102
- Hyperreal.Infinitestatement and proof · cited by 45
- Hyperreal.InfinitePosproof · cited by 44
- Hyperreal.IsStstatement and proof · cited by 42
- Hyperreal.InfiniteNegproof · cited by 38
- lt_asymmproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- Hyperreal.not_infinite_of_exists_stproof · cited by 2
- Hyperreal.Infinite.st_eqproof · cited by 2
- Hyperreal.not_infinite_mulproof · cited by 1
- Hyperreal.Infinitesimal.not_infiniteproof · cited by 1