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Definition df-evl1 18227
 Description: Define the evaluation map for the univariate polynomial algebra. The function eval1 makes sense when is a ring, and is the set of polynomials in Poly1. This function maps an element of the formal polynomial algebra (with coefficients in ) to a function from assignments to the variable from into an element of formed by evaluating the polynomial with the given assignment. (Contributed by Mario Carneiro, 12-Jun-2015.)
Assertion
Ref Expression
df-evl1 eval1 eval
Distinct variable group:   ,,,

Detailed syntax breakdown of Definition df-evl1
StepHypRef Expression
1 ce1 18225 . 2 eval1
2 vr . . 3
3 cvv 3095 . . 3
4 vb . . . 4
52cv 1382 . . . . 5
6 cbs 14509 . . . . 5
75, 6cfv 5578 . . . 4
8 vx . . . . . 6
94cv 1382 . . . . . . 7
10 c1o 7125 . . . . . . . 8
11 cmap 7422 . . . . . . . 8
129, 10, 11co 6281 . . . . . . 7
139, 12, 11co 6281 . . . . . 6
148cv 1382 . . . . . . 7
15 vy . . . . . . . 8
1615cv 1382 . . . . . . . . . 10
1716csn 4014 . . . . . . . . 9
1810, 17cxp 4987 . . . . . . . 8
1915, 9, 18cmpt 4495 . . . . . . 7
2014, 19ccom 4993 . . . . . 6
218, 13, 20cmpt 4495 . . . . 5
22 cevl 18044 . . . . . 6 eval
2310, 5, 22co 6281 . . . . 5 eval
2421, 23ccom 4993 . . . 4 eval
254, 7, 24csb 3420 . . 3 eval
262, 3, 25cmpt 4495 . 2 eval
271, 26wceq 1383 1 eval1 eval
 Colors of variables: wff setvar class This definition is referenced by:  evl1fval  18238
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