Description: Equality inference for transitive closure. (Contributed by Matthew House, 6-Apr-2026)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | ttceqi.1 | |- A = B |
|
| Assertion | ttceqi | |- TC+ A = TC+ B |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ttceqi.1 | |- A = B |
|
| 2 | ttceq | |- ( A = B -> TC+ A = TC+ B ) |
|
| 3 | 1 2 | ax-mp | |- TC+ A = TC+ B |