Mathlean · Online math workspace

Tautology checker

Check whether a propositional formula is true for every truth assignment.

How to use this calculator

Edit the formula inside IsTautology. A proposition or its negation is a tautology.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

IsTautology⁡(p∨¬p)\operatorname{IsTautology}\left(p\lor\lnot p\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

This is propositional logic, not a general quantified theorem prover. Large formulas can exceed time limits.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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