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Insert Enunciation Environment

1. What is Enunciation

Enunciation environments, available in text mode, provides environments for theorems, lemmas, corollaries, propositions, proofs, and more. One example is shown in Figure 1

Figure 1: Enunciation Examples

2. How to insert an enunciation

Select Insert an enunciation from mode toolbar.

For more needs, such as numbering styles and framed theorems, please follow these steps:

  1. Click the enunciation.

  2. Select →Preferences for tag from Focus toolbar

  3. Select the number or environment format that you need. The formatting options are explained below:

3. Enunciation Examples

a. Theorem: A core conclusion that requires rigorous proof. It represents a primary contribution to the work.

Theorem Example

b. Lemma: An auxiliary conclusion that provides an intermediate step for proving a theorem or proposition.

Lemma Example

c. Corollary: A direct extension derived from a theorem or proposition, requiring brief supplementary proof.

Corollary Example

d. Proposition: An independent statement, often considered a minor theorem or an unnamed theorem.

Proposition Example

e. Proof: The process of logical deduction that verifies the validity of a theorem, lemma, proposition, or corollary.

Proof Example

Liii STEM provides a wide range of enunciation types. As listed below:

ClassificationEnunciation
Mathematical TheoremsTheorem, Lemma, Corollary, Proposition, Axiom, Assumption.
Definitions & ExplanationsDefinition, Notation, Convention.
Remarks & NotesRemark, Note, Warning.
Examples & ExercisesExample, Exercise, Problem, Question, Solution, Answer.
OtherTypesProof, Acknowledgments.
...

4. Recommendations for Using Enunciations

Note that the appearance of the same enunciation differs depending on the language style. For example, content within a Theorem is displayed in upright Roman in Chinese styles, but in italics in English styles.

Avoid nesting enunciations.