Theorems · Theorem · logic and foundations
Hyperreal.Infinite.not_infinitesimal
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ {x : ℝ*}, x.Infinite → ¬x.Infinitesimal- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 116 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 and proof · cited by 45
- Hyperreal.Infinitesimalstatement and proof · cited by 41
- Hyperreal.Infinitesimal.not_infiniteproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Hyperreal.InfiniteNeg.not_infinitesimalproof · cited by 2
- Hyperreal.InfinitePos.not_infinitesimalproof · cited by 2
- Hyperreal.Infinite.mulproof · cited by 0