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, ExprRange, ExprTuple, IndexedVar, Lambda, Variable, a, c, l
from proveit.logic import InSet
from proveit.numbers import Add, Integer, Mult, one, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Lambda(l, Conditional(Mult(ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, zero), Add(l, one), IndexedVar(c, one)), InSet(l, Integer))))

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(l \mapsto \left\{a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{0} \cdot \left(l + 1\right) \cdot c_{1} \textrm{ if } l \in \mathbb{Z}\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: 21 body: 3
2	ExprTuple	21
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11, 12
8	Literal
9	ExprTuple	21, 13
10	ExprRange	lambda_map: 14 start_index: 22 end_index: 15
11	Operation	operator: 16 operands: 17
12	IndexedVar	variable: 18 index: 22
13	Literal
14	Lambda	parameter: 25 body: 20
15	Literal
16	Literal
17	ExprTuple	21, 22
18	Variable
19	ExprTuple	22
20	IndexedVar	variable: 23 index: 25
21	Variable
22	Literal
23	Variable
24	ExprTuple	25
25	Variable