Description: Equality inference for range. (Contributed by NM, 4-Mar-2004)
Ref | Expression | ||
---|---|---|---|
Hypothesis | rneqi.1 | ⊢ 𝐴 = 𝐵 | |
Assertion | rneqi | ⊢ ran 𝐴 = ran 𝐵 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rneqi.1 | ⊢ 𝐴 = 𝐵 | |
2 | rneq | ⊢ ( 𝐴 = 𝐵 → ran 𝐴 = ran 𝐵 ) | |
3 | 1 2 | ax-mp | ⊢ ran 𝐴 = ran 𝐵 |