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Metamath Proof Explorer

Theorem imaeq1d

Description: Equality theorem for image. (Contributed by FL, 15-Dec-2006)

		Ref	Expression
	Hypothesis	imaeq1d.1	$⊢ φ \to A = B$
	Assertion	imaeq1d	$⊢ φ \to A [C] = B [C]$

Step	Hyp	Ref	Expression
1		imaeq1d.1	$⊢ φ \to A = B$
2		imaeq1	$⊢ A = B \to A [C] = B [C]$
3	1 2	syl	$⊢ φ \to A [C] = B [C]$