Theorems · Theorem · logic and foundations
Hyperreal.Infinite.st_eq
Deprecated since 2026-01-05Use ArchimedeanClass.stdPart_eq_zero instead.
∀ {x : ℝ*}, x.Infinite → x.st = 0- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 2 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.
Cites6
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
- Hyperreal.Infinitestatement and proof · cited by 45
- Hyperreal.IsStproof · cited by 42
- Hyperreal.ststatement · cited by 16
- Hyperreal.IsSt.not_infiniteproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Hyperreal.isSt_stproof · cited by 0
- Hyperreal.st_negproof · cited by 0