Theorems · Theorem · logic and foundations
Hyperreal.not_infinite_mul
Deprecated since 2026-01-05Use ArchimedeanClass.mk_mul instead.
∀ {x y : ℝ*}, ¬x.Infinite → ¬y.Infinite → ¬(x * y).Infinite- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Hyperrealstatement and proof · cited by 172
- Hyperreal.Infinitestatement and proof · cited by 45
- Hyperreal.IsStproof · cited by 42
- Hyperreal.IsSt.not_infiniteproof · cited by 4
- Hyperreal.exists_st_of_not_infiniteproof · cited by 4
- Hyperreal.IsSt.mulproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Hyperreal.st_mulproof · cited by 0