Expression of type Equals

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 k
from proveit.logic import Equals
from proveit.numbers import Add, Interval, Mult, Sum, frac, one, two

# build up the expression from sub-expressions
expr = Equals(Equals(Sum(index_or_indices = [k], summand = k, domain = Interval(one, one)), frac(Mult(one, Add(one, one)), two)), Equals(one, one)).with_wrapping_at(2)

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())

\begin{array}{c} \begin{array}{l} \left(\left(\sum_{k = 1}^{1} k\right) = \frac{1 \cdot \left(1 + 1\right)}{2}\right) =  \\ \left(1 = 1\right) \end{array} \end{array}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	(2)	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 5 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 5 operands: 4
3	Operation	operator: 5 operands: 27
4	ExprTuple	6, 7
5	Literal
6	Operation	operator: 8 operand: 12
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	12
10	Literal
11	ExprTuple	13, 14
12	Lambda	parameter: 24 body: 16
13	Operation	operator: 17 operands: 18
14	Literal
15	ExprTuple	24
16	Conditional	value: 24 condition: 19
17	Literal
18	ExprTuple	28, 20
19	Operation	operator: 21 operands: 22
20	Operation	operator: 23 operands: 27
21	Literal
22	ExprTuple	24, 25
23	Literal
24	Variable
25	Operation	operator: 26 operands: 27
26	Literal
27	ExprTuple	28, 28
28	Literal