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, ExprTuple, Function, Lambda, Q, f
from proveit.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k
from proveit.numbers import Mult

# build up the expression from sub-expressions
sub_expr1 = [b_1_to_j]
expr = ExprTuple(Lambda(sub_expr1, Conditional(Mult(a_1_to_i, Function(f, sub_expr1), c_1_to_k), Function(Q, sub_expr1))))

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(b_{1}, b_{2}, \ldots, b_{j}\right) \mapsto \left\{a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot f\left(b_{1}, b_{2}, \ldots, b_{j}\right)\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{k} \textrm{ if } Q\left(b_{1}, b_{2}, \ldots, b_{j}\right)\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: 14 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 14
5	Literal
6	ExprTuple	8, 9, 10
7	Variable
8	ExprRange	lambda_map: 11 start_index: 22 end_index: 12
9	Operation	operator: 13 operands: 14
10	ExprRange	lambda_map: 15 start_index: 22 end_index: 16
11	Lambda	parameter: 28 body: 17
12	Variable
13	Variable
14	ExprTuple	18
15	Lambda	parameter: 28 body: 19
16	Variable
17	IndexedVar	variable: 20 index: 28
18	ExprRange	lambda_map: 21 start_index: 22 end_index: 23
19	IndexedVar	variable: 24 index: 28
20	Variable
21	Lambda	parameter: 28 body: 25
22	Literal
23	Variable
24	Variable
25	IndexedVar	variable: 26 index: 28
26	Variable
27	ExprTuple	28
28	Variable