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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 7188 | . 2 ⊢ (𝐴 = 𝐵 → (𝐶𝐴𝐷) = (𝐶𝐵𝐷)) | |
3 | 1, 2 | ax-mp 5 | 1 ⊢ (𝐶𝐴𝐷) = (𝐶𝐵𝐷) |
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