result in real analysis
C17280
concept
In real analysis, a result is a proven mathematical statement—such as a theorem, lemma, proposition, or corollary—that establishes a specific property or relationship about real-valued functions, sequences, sets, or structures on the real numbers.
All labels observed (4)
| Label | Occurrences |
|---|---|
| result in real analysis canonical | 4 |
| approximation theory result | 1 |
| result in metric space theory | 1 |
| result in numerical analysis | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: result in real analysis
Generated description
In real analysis, a result is a proven mathematical statement—such as a theorem, lemma, proposition, or corollary—that establishes a specific property or relationship about real-valued functions, sequences, sets, or structures on the real numbers.
Instances (7)
| Instance | Via concept surface |
|---|---|
| Kronecker’s lemma | — |
| Banach fixed-point theorem | result in metric space theory |
| Fatou's lemma | — |
| Bernstein inequalities | approximation theory result |
| Koksma–Hlawka inequality | result in numerical analysis |
| Cauchy’s integral test | — |
| Darboux's law of intermediate values | — |