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, beta, fi, gamma, i
from proveit.linear_algebra import ScalarMult, VecSum
from proveit.numbers import Interval, Mult, four, two

# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Interval(two, four)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = ScalarMult(ScalarMult(gamma, beta), fi), domain = sub_expr2), ScalarMult(Mult(gamma, beta), VecSum(index_or_indices = sub_expr1, summand = fi, domain = sub_expr2)))

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(\sum_{i=2}^{4} \left(\left(\gamma \cdot \beta\right) \cdot f\left(i\right)\right), \left(\gamma \cdot \beta\right) \cdot \left(\sum_{i=2}^{4} f\left(i\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 operand: 5
2	Operation	operator: 19 operands: 4
3	ExprTuple	5
4	ExprTuple	6, 7
5	Lambda	parameter: 27 body: 8
6	Operation	operator: 9 operands: 20
7	Operation	operator: 10 operand: 13
8	Conditional	value: 12 condition: 18
9	Literal
10	Literal
11	ExprTuple	13
12	Operation	operator: 19 operands: 14
13	Lambda	parameter: 27 body: 15
14	ExprTuple	16, 17
15	Conditional	value: 17 condition: 18
16	Operation	operator: 19 operands: 20
17	Operation	operator: 21 operand: 27
18	Operation	operator: 23 operands: 24
19	Literal
20	ExprTuple	25, 26
21	Variable
22	ExprTuple	27
23	Literal
24	ExprTuple	27, 28
25	Variable
26	Variable
27	Variable
28	Operation	operator: 29 operands: 30
29	Literal
30	ExprTuple	31, 32
31	Literal
32	Literal