Theorems · Theorem · logic and foundations
Hyperreal.IsSt.mul
Deprecated since 2026-01-05Use ArchimedeanClass.stdPart_mul instead.
∀ {x y : ℝ*} {r s : ℝ}, x.IsSt r → y.IsSt s → (x * y).IsSt (r * s)- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 118 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
- Continuous.continuousAtproof · cited by 297
- Hyperrealstatement and proof · cited by 172
- Hyperreal.IsStstatement and proof · cited by 42
- continuous_mulproof · cited by 41
- Hyperreal.IsSt.map₂proof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Hyperreal.not_infinite_mulproof · cited by 1
- Hyperreal.Infinitesimal.mulproof · cited by 0
- Hyperreal.st_mulproof · cited by 0