Modus Ponendo Tollens/Proof Rule/Technical Note
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Technical Note on Modus Ponendo Tollens
When invoking Modus Ponendo Tollens in a tableau proof, use the {{ModusPonendoTollens}}
template:
{{ModusPonendoTollens|line|pool|statement|first|second|1 or 2}}
or:
{{ModusPonendoTollens|line|pool|statement|first|second|1 or 2|comment}}
where:
line
is the number of the line on the tableau proof where Modus Ponendo 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 $\neg \left({\phi \land \psi}\right)$second
is the second of the two lines of the tableau proof upon which this line directly depends, the one in the form $\phi$ or $\psi$1 or 2
should hold 1 forModusPonendoTollens_1
, and 2 forModusPonendoTollens_2
comment
is the (optional) comment that is to be displayed in the Notes column.