Metamath Proof Explorer


Definition df-vr1

Description: Define the base element of a univariate power series (the X element of the set R [ X ] of polynomials and also the X in the set R [ [ X ] ] of power series). (Contributed by Mario Carneiro, 8-Feb-2015)

Ref Expression
Assertion df-vr1 var 1 = r V 1 𝑜 mVar r

Detailed syntax breakdown

Step Hyp Ref Expression
0 cv1 class var 1
1 vr setvar r
2 cvv class V
3 c1o class 1 𝑜
4 cmvr class mVar
5 1 cv setvar r
6 3 5 4 co class 1 𝑜 mVar r
7 c0 class
8 7 6 cfv class 1 𝑜 mVar r
9 1 2 8 cmpt class r V 1 𝑜 mVar r
10 0 9 wceq wff var 1 = r V 1 𝑜 mVar r