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| Mirrors > Home > MPE Home > Th. List > oveq1i | Structured version Visualization version GIF version | ||
| Description: Equality inference for operation value. (Contributed by NM, 28-Feb-1995.) |
| Ref | Expression |
|---|---|
| oveq1i.1 | ⊢ 𝐴 = 𝐵 |
| Ref | Expression |
|---|---|
| oveq1i | ⊢ (𝐴𝐹𝐶) = (𝐵𝐹𝐶) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | oveq1i.1 | . 2 ⊢ 𝐴 = 𝐵 | |
| 2 | oveq1 7438 | . 2 ⊢ (𝐴 = 𝐵 → (𝐴𝐹𝐶) = (𝐵𝐹𝐶)) | |
| 3 | 1, 2 | ax-mp 5 | 1 ⊢ (𝐴𝐹𝐶) = (𝐵𝐹𝐶) |
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