Expression of type ExprTuple

from the theory of proveit.numbers.summation

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import Conditional, ExprTuple, Lambda, a, b, i, x
from proveit.logic import Equals, InSet
from proveit.numbers import Add, Complex, Interval, Mult, Neg, Sum, one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Equals(Sum(index_or_indices = [i], summand = x, domain = Interval(a, b)), Mult(Add(b, Neg(a), one), x)), InSet(x, Complex))))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(x \mapsto \left\{\left(\sum_{i = a}^{b} x\right) = \left(\left(b - a + 1\right) \cdot x\right) \textrm{ if } x \in \mathbb{C}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 22 body: 3
2	ExprTuple	22
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 26 operands: 8
6	Literal
7	ExprTuple	9, 10
8	ExprTuple	22, 11
9	Operation	operator: 12 operand: 16
10	Operation	operator: 14 operands: 15
11	Literal
12	Literal
13	ExprTuple	16
14	Literal
15	ExprTuple	17, 22
16	Lambda	parameter: 30 body: 19
17	Operation	operator: 20 operands: 21
18	ExprTuple	30
19	Conditional	value: 22 condition: 23
20	Literal
21	ExprTuple	35, 24, 25
22	Variable
23	Operation	operator: 26 operands: 27
24	Operation	operator: 28 operand: 34
25	Literal
26	Literal
27	ExprTuple	30, 31
28	Literal
29	ExprTuple	34
30	Variable
31	Operation	operator: 32 operands: 33
32	Literal
33	ExprTuple	34, 35
34	Variable
35	Variable