Rule of Substitution/Technical Note

Theorem on Rule of Substitution
When invoking the Rule of Substitution in a tableau proof, use the Substitution template:



where:
 * is the number of the line on the tableau proof where the Rule of Substitution is to be invoked
 * is the pool of assumptions (comma-separated list) of the statement on which the Rule of Substitution is to be used
 * is the statement of logic that is to be displayed in the Formula column, without the  delimiters
 * is the line of the tableau proof of the statement on which the Rule of Substitution is to be used


 * is that which is being substituted
 * is what it is being replaced with

Optionally you can perform up to $3$ substitutions:


 * is that which is being substituted: instance 2
 * is what it is being replaced with: instance 2


 * is that which is being substituted: instance 3
 * is what it is being replaced with: instance 3.