Modus Tollendo Tollens/Proof Rule/Technical Note
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Technical Note on Modus Tollendo Tollens
When invoking Modus Tollendo Tollens in a tableau proof, use the {{ModusTollens}}
template:
{{ModusTollens|line|pool|statement|first|second}}
or:
{{ModusTollens|line|pool|statement|first|second|comment}}
where:
line
is the number of the line on the tableau proof where Modus Tollendo Tollens is to be invokedpool
is the pool of assumptions (comma-separated list)statement
is the statement of logic that is to be displayed in the Formula column, without the$ ... $
delimitersfirst
is the first of the two lines of the tableau proof upon which this line directly depends, the one in the form $\phi \implies \psi$second
is the second of the two lines of the tableau proof upon which this line directly depends, the one in the form $\phi$comment
is the (optional) comment that is to be displayed in the Notes column.