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Mirrors > Home > ILE Home > Th. List > oveq1d | GIF version |
Description: Equality deduction for operation value. (Contributed by NM, 13-Mar-1995.) |
Ref | Expression |
---|---|
oveq1d.1 | ⊢ (φ → A = B) |
Ref | Expression |
---|---|
oveq1d | ⊢ (φ → (A𝐹𝐶) = (B𝐹𝐶)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oveq1d.1 | . 2 ⊢ (φ → A = B) | |
2 | oveq1 5462 | . 2 ⊢ (A = B → (A𝐹𝐶) = (B𝐹𝐶)) | |
3 | 1, 2 | syl 14 | 1 ⊢ (φ → (A𝐹𝐶) = (B𝐹𝐶)) |
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