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In mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems.
Terminology, Theorems in logic & Theoremhood and truth
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Theorem | is a | statement that has been proven | 0.90 | text |
| Theorem | is a | logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems.In mains… | 0.90 | text |
| Theorem | is a | proved result that is not an immediate consequence of other known theorems | 0.90 | text |
| Theorem | is a | well-formed formula of a mathematical theory that can be proved from the axioms and inference rules of the theory | 0.90 | text |
| Theorem | is a | particularly well-known example of such a theorem | 0.90 | text |
| Theorem | is a | statement that has been proven to be true based on axioms and other theorems.A proposition is a theorem of lesser importance | 0.90 | text |
| Theorem | is a | theorem with a similar statement but a broader scope | 0.90 | text |
| English for better readability | instance of | they are often expressed informally in a natural language | 0.80 | text |
| Theorem | related to Epistemological considerations | Many | 0.60 | section |
| Theorem | related to Epistemological considerations | In | 0.60 | section |
| Theorem | related to Epistemological considerations | Namely | 0.60 | section |
| Theorem | related to Epistemological considerations | However | 0.60 | section |
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