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Theorems · Theorem · logic and foundations

Hyperreal.InfinitePos.pos

Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.

∀ {x : ℝ*}, x.InfinitePos → 0 < x
Defined in
Mathlib.Analysis.Real.Hyperreal
Cited by
2 results in Mathlib
Foundations
Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Hyperreal.Infinite.ne_zero · cited by 1Infinite.ne_zeroHyperreal.infiniteNeg_iff_infinite_of_neg · cited by 0Hyperreal.infiniteNeg_iff…Hyperreal · cited by 172HyperrealHyperreal.InfinitePos · cited by 44Hyperreal.InfinitePosInfinitePos.posCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.