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Metamath Proof Explorer

Theorem reseq1i

Description: Equality inference for restrictions. (Contributed by NM, 21-Oct-2014)

Ref Expression
Hypothesis reseqi.1 ⊢ A = B
Assertion reseq1i ⊢ A ↾ C = B ↾ C

Proof

Step Hyp Ref Expression
1 reseqi.1 ⊢ A = B
2 reseq1 ⊢ A = B → A ↾ C = B ↾ C
3 1 2 ax-mp ⊢ A ↾ C = B ↾ C