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| Mirrors > Home > MPE Home > Th. List > oveqi | Structured version Visualization version GIF version | ||
| Description: Equality inference for operation value. (Contributed by NM, 24-Nov-2007.) | 
| Ref | Expression | 
|---|---|
| oveq1i.1 | ⊢ 𝐴 = 𝐵 | 
| Ref | Expression | 
|---|---|
| oveqi | ⊢ (𝐶𝐴𝐷) = (𝐶𝐵𝐷) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | oveq1i.1 | . 2 ⊢ 𝐴 = 𝐵 | |
| 2 | oveq 7438 | . 2 ⊢ (𝐴 = 𝐵 → (𝐶𝐴𝐷) = (𝐶𝐵𝐷)) | |
| 3 | 1, 2 | ax-mp 5 | 1 ⊢ (𝐶𝐴𝐷) = (𝐶𝐵𝐷) | 
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