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Mirrors > Home > MPE Home > Th. List > rneqi | Structured version Visualization version GIF version |
Description: Equality inference for range. (Contributed by NM, 4-Mar-2004.) |
Ref | Expression |
---|---|
rneqi.1 | ⊢ 𝐴 = 𝐵 |
Ref | Expression |
---|---|
rneqi | ⊢ ran 𝐴 = ran 𝐵 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rneqi.1 | . 2 ⊢ 𝐴 = 𝐵 | |
2 | rneq 5773 | . 2 ⊢ (𝐴 = 𝐵 → ran 𝐴 = ran 𝐵) | |
3 | 1, 2 | ax-mp 5 | 1 ⊢ ran 𝐴 = ran 𝐵 |
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