Axiom ax-1rid 8117

Description: 1 is an identity element for real multiplication. Axiom for real and complex numbers, justified by Theorem ax1rid 8075. (Contributed by NM, 29-Jan-1995.)

Assertion

Ref	Expression
ax-1rid	|- ( A e. RR -> ( A x. 1 ) = A )

Detailed syntax breakdown of Axiom ax-1rid

Step	Hyp	Ref	Expression
1		cA	. . 3 class A
2		cr 8009	. . 3 class RR
3	1, 2	wcel 2200	. 2 wff A e. RR
4		c1 8011	. . . 4 class 1
5		cmul 8015	. . . 4 class x.
6	1, 4, 5	co 6007	. . 3 class ( A x. 1 )
7	6, 1	wceq 1395	. 2 wff ( A x. 1 ) = A
8	3, 7	wi 4	1 wff ( A e. RR -> ( A x. 1 ) = A )

This axiom is referenced by:  mulrid  8154  mulgt1  9021  ltmulgt11  9022  lemulge11  9024  addltmul  9359