Expression of type ExprTuple

from the theory of proveit.numbers.multiplication

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, ExprRange, ExprTuple, Lambda, Variable, n, x
from proveit.logic import And, Equals, InSet
from proveit.numbers import Add, Complex, Mult, Natural, one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([n, x], Conditional(Equals(Add(ExprRange(Variable("_a", latex_format = r"{_{-}a}"), x, one, n)), Mult(x, n)), And(InSet(n, Natural), 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(\left(n, x\right) \mapsto \left\{\left(x +  x +  ..\left(n - 3\right) \times.. +  x\right) = \left(x \cdot n\right) \textrm{ if } n \in \mathbb{N} ,  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	parameters: 2 body: 3
2	ExprTuple	26, 28
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	12, 13
10	Operation	operator: 14 operands: 15
11	Operation	operator: 16 operands: 17
12	Operation	operator: 19 operands: 18
13	Operation	operator: 19 operands: 20
14	Literal
15	ExprTuple	21
16	Literal
17	ExprTuple	28, 26
18	ExprTuple	26, 22
19	Literal
20	ExprTuple	28, 23
21	ExprRange	lambda_map: 24 start_index: 25 end_index: 26
22	Literal
23	Literal
24	Lambda	parameter: 29 body: 28
25	Literal
26	Variable
27	ExprTuple	29
28	Variable
29	Variable