Theorems · Theorem · logic and foundations
Hyperreal.Infinite.ne_zero
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ {x : ℝ*}, x.Infinite → x ≠ 0- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.ne'proof · cited by 1,417
- LT.lt.neproof · cited by 872
- Hyperrealstatement and proof · cited by 172
- Hyperreal.Infinitestatement and proof · cited by 45
- Hyperreal.InfinitePosproof · cited by 44
- Hyperreal.InfiniteNegproof · cited by 38
- Hyperreal.InfiniteNeg.lt_zeroproof · cited by 2
- Hyperreal.InfinitePos.posproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Hyperreal.not_infinite_zeroproof · cited by 0