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In mathematics and logic, a corollary (US: /ˈkɒrəˌlɛəri/, KORR-ə-lair-ee; UK: /kəˈrɒləri/, kər-OL-ər-ee) is a proposition which can be readily deduced from a previous, already proven proposition. A corollary could be a proposition that is incidentally proved while proving another proposition; it might also be used more casually to refer to something…
The analysis highlights Peirce's theory of deductive reasoning and Overview as prominent areas in the source structure around Corollary.
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
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The extracted context around Corollary shows recurring relationship patterns in the source. For example, Corollary → theorem connected by a short proof to an existing theorem Another extracted example is Corollary → Pythagorean. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
proposition theorem mathematics also references proof readily deduced proved another might deductive reasoning logic us korr-ə-lair-ee uk kər-ol-ər-ee use rather
TTTA extracted 2 structured relationships around Corollary. Examples in this analysis include Corollary → is a → theorem connected by a short proof to an existing theorem and Corollary → related to overview → Pythagorean. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Corollary | is a | theorem connected by a short proof to an existing theorem | 0.90 | text |
| Corollary | related to overview | Pythagorean | 0.60 | section |
The concept neighborhoods around Corollary bring nearby vocabulary together. In this analysis, examples include Proposition, Theorem and Also. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Corollary, one of the stronger structural bridges in this analysis connects Corollary with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Corollary to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Peirce's theory of deductive reasoning & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Corollary · EN edition · Analysis: TopicsToTalkAbout