Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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, alpha, beta, gamma, x, y
from proveit.linear_algebra import ScalarMult, VecAdd
from proveit.numbers import Mult

# build up the expression from sub-expressions
expr = ExprTuple(VecAdd(ScalarMult(Mult(alpha, beta), x), ScalarMult(Mult(gamma, alpha), y)), ScalarMult(alpha, VecAdd(ScalarMult(beta, x), ScalarMult(gamma, y))))

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(\left(\alpha \cdot \beta\right) \cdot x\right) + \left(\left(\gamma \cdot \alpha\right) \cdot y\right), \alpha \cdot \left(\left(\beta \cdot x\right) + \left(\gamma \cdot y\right)\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: 10 operands: 3
2	Operation	operator: 20 operands: 4
3	ExprTuple	5, 6
4	ExprTuple	22, 7
5	Operation	operator: 20 operands: 8
6	Operation	operator: 20 operands: 9
7	Operation	operator: 10 operands: 11
8	ExprTuple	12, 24
9	ExprTuple	13, 26
10	Literal
11	ExprTuple	14, 15
12	Operation	operator: 17 operands: 16
13	Operation	operator: 17 operands: 18
14	Operation	operator: 20 operands: 19
15	Operation	operator: 20 operands: 21
16	ExprTuple	22, 23
17	Literal
18	ExprTuple	25, 22
19	ExprTuple	23, 24
20	Literal
21	ExprTuple	25, 26
22	Variable
23	Variable
24	Variable
25	Variable
26	Variable