Description: The proper substitution of a class for a variable in another variable does not modify it, in inference form. (Contributed by Giovanni Mascellani, 30-May-2019)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | csbconstgi.1 | |- A e. _V |
|
| Assertion | csbconstgi | |- [_ A / x ]_ y = y |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | csbconstgi.1 | |- A e. _V |
|
| 2 | csbconstg | |- ( A e. _V -> [_ A / x ]_ y = y ) |
|
| 3 | 1 2 | ax-mp | |- [_ A / x ]_ y = y |