rediveq1d

Description: Equality in terms of unit ratio. (Contributed by SN, 2-Apr-2026)

	Ref	Expression
Hypotheses	redivcan2d.a	$⊢ φ \to A \in ℝ$
	redivcan2d.b	$⊢ φ \to B \in ℝ$
	redivcan2d.z	$⊢ φ \to B \neq 0$
Assertion	rediveq1d	Could not format assertion : No typesetting found for \|- ( ph -> ( ( A /R B ) = 1 <-> A = B ) ) with typecode \|-

Step	Hyp	Ref	Expression
1		redivcan2d.a	$⊢ φ \to A \in ℝ$
2		redivcan2d.b	$⊢ φ \to B \in ℝ$
3		redivcan2d.z	$⊢ φ \to B \neq 0$
4		1red	$⊢ φ \to 1 \in ℝ$
5	1 4 2 3	redivmul2d	Could not format ( ph -> ( ( A /R B ) = 1 <-> A = ( B x. 1 ) ) ) : No typesetting found for \|- ( ph -> ( ( A /R B ) = 1 <-> A = ( B x. 1 ) ) ) with typecode \|-
6		ax-1rid	$⊢ B \in ℝ \to B \cdot 1 = B$
7	2 6	syl	$⊢ φ \to B \cdot 1 = B$
8	7	eqeq2d	$⊢ φ \to (A = B \cdot 1 \leftrightarrow A = B)$
9	5 8	bitrd	Could not format ( ph -> ( ( A /R B ) = 1 <-> A = B ) ) : No typesetting found for \|- ( ph -> ( ( A /R B ) = 1 <-> A = B ) ) with typecode \|-

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