Theorems · Theorem · logic and foundations
Hyperreal.Infinitesimal.not_infinite
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ {x : ℝ*}, x.Infinitesimal → ¬x.Infinite- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 1 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Hyperrealstatement and proof · cited by 172
- Hyperreal.Infinitestatement · cited by 45
- Hyperreal.Infinitesimalstatement and proof · cited by 41
- Hyperreal.IsSt.not_infiniteproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Hyperreal.Infinite.not_infinitesimalproof · cited by 3