Theorems · Theorem · logic and foundations
Hyperreal.st_add
Deprecated since 2026-01-05Use ArchimedeanClass.stdPart_add instead.
∀ {x y : ℝ*}, ¬x.Infinite → ¬y.Infinite → (x + y).st = x.st + y.st- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Hyperrealstatement and proof · cited by 172
- Hyperreal.Infinitestatement and proof · cited by 45
- Hyperreal.ststatement · cited by 16
- Hyperreal.isSt_st'proof · cited by 7
- Hyperreal.IsSt.uniqueproof · cited by 6
- Hyperreal.IsSt.addproof · cited by 3
- Hyperreal.not_infinite_addproof · cited by 1
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