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 ExprTuple, x, y
from proveit.core_expr_types import a_1_to_i, b_1_to_j
from proveit.numbers import Mult, Neg

# build up the expression from sub-expressions
expr = ExprTuple(Mult(a_1_to_i, x, b_1_to_j), Neg(Mult(a_1_to_i, y, b_1_to_j)))

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(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot x\cdot b_{1} \cdot  b_{2} \cdot  \ldots \cdot  b_{j}, -\left(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot y\cdot b_{1} \cdot  b_{2} \cdot  \ldots \cdot  b_{j}\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 8 operands: 3
2	Operation	operator: 4 operand: 7
3	ExprTuple	10, 6, 12
4	Literal
5	ExprTuple	7
6	Variable
7	Operation	operator: 8 operands: 9
8	Literal
9	ExprTuple	10, 11, 12
10	ExprRange	lambda_map: 13 start_index: 16 end_index: 14
11	Variable
12	ExprRange	lambda_map: 15 start_index: 16 end_index: 17
13	Lambda	parameter: 23 body: 18
14	Variable
15	Lambda	parameter: 23 body: 19
16	Literal
17	Variable
18	IndexedVar	variable: 20 index: 23
19	IndexedVar	variable: 21 index: 23
20	Variable
21	Variable
22	ExprTuple	23
23	Variable