### Install Metamath Site Mirror Source: https://us.metamath.org/index.html Execution command for the site installation script on Unix-like systems. ```bash ./install.sh ``` -------------------------------- ### Completed Subproof Example Source: https://us.metamath.org/other/completeusersproof/completeusersproof-read-me.txt A completed subproof using the mpjaod metavariable deduction. ```text 8:7: |- ( ( Tr A /\ ( z e. y /\ y e. suc A ) ) -> ( y e. A -> z e. suc A ) ) ... ... 12:11: |- ( ( z e. y /\ y e. suc A ) -> ( y = A -> z e. suc A ) ) ... 14:13: |- ( ( z e. y /\ y e. suc A ) -> ( y e. A \/ y = A ) ) d3:12:adantl |- ( ( Tr A /\ ( z e. y /\ y e. suc A ) ) -> ( y = A -> z e. suc A ) ) d4:14:adantl |- ( ( Tr A /\ ( z e. y /\ y e. suc A ) ) -> ( y e. A \/ y = A ) ) 15:8,d3,d4:mpjaod |- ( ( Tr A /\ ( z e. y /\ y e. suc A ) ) -> z e. suc A ) ``` -------------------------------- ### Example Subproof of suctrALT4UP Source: https://us.metamath.org/other/completeusersproof/completeusersproof-read-me.txt The original form of the subproof for suctrALT4UP before unification theorem application. ```text 8:7: |- (. (. Tr A ,. ( z e. y /\ y e. suc A ) ). ->. ( y e. A -> z e. suc A ) ). ... ... 12:11: |- (. ( z e. y /\ y e. suc A ) ->. ( y = A -> z e. suc A ) ). ... 14:13: |- (. ( z e. y /\ y e. suc A ) ->. ( y e. A \/ y = A ) ). 15:8,12,14: |- (. (. Tr A ,. ( z e. y /\ y e. suc A ) ). ->. z e. suc A ). ```