Theorems · Theorem · logic and foundations
Hyperreal.st_eq
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ (x : ℝ*), x.st = ArchimedeanClass.stdPart x
- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ne_of_ltproof · cited by 203
- ArchimedeanClass.mkproof · cited by 174
- Hyperrealstatement and proof · cited by 172
- Hyperreal.IsStproof · cited by 42
- ArchimedeanClass.stdPartstatement and proof · cited by 42
- Hyperreal.ststatement · cited by 16
- ArchimedeanClass.stdPart_eq_zeroproof · cited by 6
- Hyperreal.isSt_iffproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Hyperreal.st_eq_sSupproof · cited by 0
- Hyperreal.st_invproof · cited by 0