redivcan3d

Description: A cancellation law for division. (Contributed by SN, 25-Nov-2025)

	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	redivcan3d	Could not format assertion : No typesetting found for \|- ( ph -> ( ( B x. A ) /R B ) = A ) 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		eqidd	$⊢ φ \to B A = B A$
5	2 1	remulcld	$⊢ φ \to B A \in ℝ$
6	5 1 2 3	redivmuld	Could not format ( ph -> ( ( ( B x. A ) /R B ) = A <-> ( B x. A ) = ( B x. A ) ) ) : No typesetting found for \|- ( ph -> ( ( ( B x. A ) /R B ) = A <-> ( B x. A ) = ( B x. A ) ) ) with typecode \|-
7	4 6	mpbird	Could not format ( ph -> ( ( B x. A ) /R B ) = A ) : No typesetting found for \|- ( ph -> ( ( B x. A ) /R B ) = A ) with typecode \|-

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