# Conditional/Semantics of Conditional/Examples

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## Examples of Semantics of Conditional

The statement:

**If**I pass this course,**then**(it shows that) I have studied hard for it.

may be rephrased as:

*I will pass this course***only if**I have studied hard for it.

*To prove that I have studied hard for this course, it is***sufficient**to know that I passed it.

*For me to pass this course, it is***necessary**for me to study hard for it.

## Sources

- 1977: Gary Chartrand:
*Introductory Graph Theory*... (previous) ... (next): Appendix $\text{A}.5$: Theorems and Proofs