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Definition df-vr1 19320
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.)
Assertion
Ref Expression
df-vr1 var1 = (𝑟 ∈ V ↦ ((1𝑜 mVar 𝑟)‘∅))

Detailed syntax breakdown of Definition df-vr1
StepHypRef Expression
1 cv1 19315 . 2 class var1
2 vr . . 3 setvar 𝑟
3 cvv 3172 . . 3 class V
4 c0 3873 . . . 4 class
5 c1o 7417 . . . . 5 class 1𝑜
62cv 1473 . . . . 5 class 𝑟
7 cmvr 19121 . . . . 5 class mVar
85, 6, 7co 6526 . . . 4 class (1𝑜 mVar 𝑟)
94, 8cfv 5789 . . 3 class ((1𝑜 mVar 𝑟)‘∅)
102, 3, 9cmpt 4637 . 2 class (𝑟 ∈ V ↦ ((1𝑜 mVar 𝑟)‘∅))
111, 10wceq 1474 1 wff var1 = (𝑟 ∈ V ↦ ((1𝑜 mVar 𝑟)‘∅))
Colors of variables: wff setvar class
This definition is referenced by:  vr1val  19331
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