Theorems · Theorem · logic and foundations
Hyperreal.InfiniteNeg.lt_zero
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ {x : ℝ*}, x.InfiniteNeg → x < 0- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Hyperrealstatement and proof · cited by 172
- Hyperreal.InfiniteNegstatement and proof · cited by 38
Cited by2
Results whose statement or proof uses this declaration.
- Hyperreal.infinitePos_iff_infinite_of_nonnegproof · cited by 2
- Hyperreal.Infinite.ne_zeroproof · cited by 1