ELI5: Explain Like I'm 5

Disjunction elimination

Disjunction elimination is when you have two possible choices or ideas, and you have to decide which one is true. It's like asking, "Do you want an apple or a banana?" and then choosing one of those options.

For example, let's say you have a statement like "Today is either sunny or rainy." Disjunction elimination means you have to pick which one of those options is true, based on the information you have. If you look outside and see that it's sunny, then you know that "Today is sunny" is true and "Today is rainy" is false.

In logic, disjunction elimination is also used to prove things. If you have a statement that says "A or B" and you know "Not A" is true, then you can use disjunction elimination to conclude that "B" must be true.

So, in simple terms, disjunction elimination means you have to make a choice between two options, and sometimes you can use it to prove something is true based on the information you already have.
Related topics others have asked about: