- [[apply-tactic|apply <Conditional>]] : If
- a conditional term is assumed, and
- the goal is its conclusion type,
- then change the goal to its premise type, so that it suffices to prove the premise.
**NOTE:** The article below also includes a description of the tactic:
- [[apply-at-tactic|apply <Conditional> at <Premise>]] : Apply modus ponens.
**Source:** [Formalizing Mathematics - Metha](https://b-mehta.github.io/formalising-mathematics-notes/Part_2/tactics/apply.html)
<iframe src="https://b-mehta.github.io/formalising-mathematics-notes/Part_2/tactics/apply.html#:~:text=apply,-%EF%83%81" width="100%" height="700px"></iframe>
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Author: [[dducoff]]
Posted Date: 2026-06-25