Description: Define the fourth Gödel operation. This function takes two arguments and returns the first argument restricted to the second argument (see df-res ). Based on the fourth case of Definition 14.2 of TakeutiZaring p. 144. (Contributed by BTernaryTau, 2-Sep-2026)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-gdlop4 | Could not format assertion : No typesetting found for |- ~F4 = ( x e. _V , y e. _V |-> ( x |` y ) ) with typecode |- |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cgdlop4 | Could not format ~F4 : No typesetting found for class ~F4 with typecode class | |
| 1 | vx | ||
| 2 | cvv | ||
| 3 | vy | ||
| 4 | 1 | cv | |
| 5 | 3 | cv | |
| 6 | 4 5 | cres | |
| 7 | 1 3 2 2 6 | cmpo | |
| 8 | 0 7 | wceq | Could not format ~F4 = ( x e. _V , y e. _V |-> ( x |` y ) ) : No typesetting found for wff ~F4 = ( x e. _V , y e. _V |-> ( x |` y ) ) with typecode wff |