Theorems · Theorem · logic and foundations
Hyperreal.IsSt.unique
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ {x : ℝ*} {r s : ℝ}, x.IsSt r → x.IsSt s → r = s- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 153 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.
- Realstatement and proof · cited by 25,697
- Hyperrealstatement and proof · cited by 172
- tendsto_nhds_uniqueproof · cited by 118
- Hyperreal.IsStstatement and proof · cited by 42
- Hyperreal.ofSeqproof · cited by 24
- Hyperreal.ofSeq_surjectiveproof · cited by 12
- Hyperreal.isSt_ofSeq_iff_tendstoproof · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- Hyperreal.eq_of_isSt_realproof · cited by 3
- Hyperreal.IsSt.st_eqproof · cited by 2
- Hyperreal.st_addproof · cited by 0
- Hyperreal.st_mulproof · cited by 0
- Hyperreal.st_negproof · cited by 0
- Hyperreal.not_real_of_infinitesimal_ne_zeroproof · cited by 0