Theorem sn-rediv1d

Description: A number divided by 1 is itself. (Contributed by SN, 2-Apr-2026)

	Ref	Expression
Hypothesis	sn-rediv1d.a	$$⊢\phi \to A\in ℝ$$
Assertion	sn-rediv1d	Could not format assertion : No typesetting found for |- ( ph -> ( A /R 1 ) = A ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		sn-rediv1d.a	$$⊢\phi \to A\in ℝ$$
2		remullid	$$⊢A\in ℝ\to 1A=A$$
3	1 2	syl	$$⊢\phi \to 1A=A$$
4		1red	$$⊢\phi \to 1\in ℝ$$
5		ax-1ne0	$$⊢1\ne 0$$
6	5	a1i	$$⊢\phi \to 1\ne 0$$
7	1 1 4 6	redivmuld	Could not format ( ph -> ( ( A /R 1 ) = A <-> ( 1 x. A ) = A ) ) : No typesetting found for |- ( ph -> ( ( A /R 1 ) = A <-> ( 1 x. A ) = A ) ) with typecode |-
8	3 7	mpbird	Could not format ( ph -> ( A /R 1 ) = A ) : No typesetting found for |- ( ph -> ( A /R 1 ) = A ) with typecode |-