Mathlib Map

Theorems · Definition · logic and foundations

Hyperreal.ofSeq

(ℕ → ℝ) → ℝ*

Construct a hyperreal number from a sequence of real numbers.

Defined in
Mathlib.Analysis.Real.Hyperreal
Cited by
24 results in Mathlib
Foundations
Depth 77 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.ofSeq_surjective · cited by 12Hyperreal.ofSeq_surjectiveHyperreal.epsilon · cited by 11Hyperreal.epsilonHyperreal.omega · cited by 11Hyperreal.omegaHyperreal.isSt_ofSeq_iff_tendsto · cited by 7Hyperreal.isSt_ofSeq_iff_…Hyperreal.IsSt.unique · cited by 6IsSt.uniqueHyperreal.ofSeq_lt_ofSeq · cited by 6Hyperreal.ofSeq_lt_ofSeqHyperreal.tendsto_ofSeq · cited by 5Hyperreal.tendsto_ofSeqHyperreal.IsSt.map₂ · cited by 3IsSt.map₂Hyperreal.lt_of_tendsto_atBot · cited by 3Hyperreal.lt_of_tendsto_a…Hyperreal.lt_of_tendsto_atTop · cited by 3Hyperreal.lt_of_tendsto_a…Hyperreal.tendsto_iff_forall · cited by 2Hyperreal.tendsto_iff_for…Hyperreal.IsSt.lt · cited by 2IsSt.ltHyperreal.IsSt.map · cited by 2IsSt.mapHyperreal.ofSeq_le_ofSeq · cited by 2Hyperreal.ofSeq_le_ofSeqHyperreal.infinitesimal_of_tendsto_zero · cited by 1Hyperreal.infinitesimal_o…Real · cited by 25697RealHyperreal · cited by 172HyperrealFilter.Germ.ofFun · cited by 73Germ.ofFunHyperreal.ofSeqCITED BYCITES

Cites3

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

Cited by26

Results whose statement or proof uses this declaration.