rerecrecd

Description: A number is equal to the reciprocal of its reciprocal. (Contributed by SN, 2-Apr-2026)

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

Step	Hyp	Ref	Expression
1		sn-rereccld.a	$⊢ φ \to A \in ℝ$
2		sn-rereccld.z	$⊢ φ \to A \neq 0$
3	1 2	rerecid2d	Could not format ( ph -> ( ( 1 /R A ) x. A ) = 1 ) : No typesetting found for \|- ( ph -> ( ( 1 /R A ) x. A ) = 1 ) with typecode \|-
4		1red	$⊢ φ \to 1 \in ℝ$
5	1 2	sn-rereccld	Could not format ( ph -> ( 1 /R A ) e. RR ) : No typesetting found for \|- ( ph -> ( 1 /R A ) e. RR ) with typecode \|-
6	1 2	rerecne0d	Could not format ( ph -> ( 1 /R A ) =/= 0 ) : No typesetting found for \|- ( ph -> ( 1 /R A ) =/= 0 ) with typecode \|-
7	4 1 5 6	redivmuld	Could not format ( ph -> ( ( 1 /R ( 1 /R A ) ) = A <-> ( ( 1 /R A ) x. A ) = 1 ) ) : No typesetting found for \|- ( ph -> ( ( 1 /R ( 1 /R A ) ) = A <-> ( ( 1 /R A ) x. A ) = 1 ) ) with typecode \|-
8	3 7	mpbird	Could not format ( ph -> ( 1 /R ( 1 /R A ) ) = A ) : No typesetting found for \|- ( ph -> ( 1 /R ( 1 /R A ) ) = A ) with typecode \|-

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