# Rule of Substitution/Technical Note

Jump to navigation
Jump to search

## Technical Note on Rule of Substitution

When invoking the **Rule of Substitution** in a tableau proof, use the `{{Substitution}}`

template:

`{{Substitution|line|pool|statement|depends|instance 1}}`

`{{Substitution|line|pool|statement|depends|instance 1|substitution 1}}`

`{{Substitution|line|pool|statement|depends|instance 1|substitution 1|instance 2|substitution 2}}`

`{{Substitution|line|pool|statement|depends|instance 1|substitution 1|instance 2|substitution 2|instance 3|substitution 3}}`

where:

`line`

is the number of the line on the tableau proof where the Rule of Substitution is to be invoked`pool`

is the pool of assumptions (comma-separated list) of the statement on which the Rule of Substitution is to be used`statement`

is the statement of logic that is to be displayed in the**Formula**column,**without**the`$ ... $`

delimiters`depends`

is the line of the tableau proof of the statement on which the Rule of Substitution is to be used

`instance 1`

is that which is being substituted`substitution 1`

is what it is being replaced with

Optionally you can perform up to $3$ substitutions:

`instance 2`

is that which is being substituted: instance 2`substitution 2`

is what it is being replaced with: instance 2

`instance 3`

is that which is being substituted: instance 3`substitution 3`

is what it is being replaced with: instance 3.