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 i
from proveit.logic import Equals
from proveit.numbers import Exp, Interval, Neg, Sum, five, frac, one, six, subtract, two

# build up the expression from sub-expressions
expr = Equals(Sum(index_or_indices = [i], summand = Exp(two, i), domain = Interval(one, five)), frac(subtract(two, Exp(two, six)), Neg(one)))

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 = 1}^{5} 2^{i}\right) = \frac{2 - 2^{6}}{-1}

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.	()	()	('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: 1 operands: 2
1	Literal
2	ExprTuple	3, 4
3	Operation	operator: 5 operand: 9
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9
7	Literal
8	ExprTuple	10, 11
9	Lambda	parameter: 25 body: 13
10	Operation	operator: 14 operands: 15
11	Operation	operator: 23 operand: 32
12	ExprTuple	25
13	Conditional	value: 17 condition: 18
14	Literal
15	ExprTuple	34, 19
16	ExprTuple	32
17	Operation	operator: 30 operands: 20
18	Operation	operator: 21 operands: 22
19	Operation	operator: 23 operand: 27
20	ExprTuple	34, 25
21	Literal
22	ExprTuple	25, 26
23	Literal
24	ExprTuple	27
25	Variable
26	Operation	operator: 28 operands: 29
27	Operation	operator: 30 operands: 31
28	Literal
29	ExprTuple	32, 33
30	Literal
31	ExprTuple	34, 35
32	Literal
33	Literal
34	Literal
35	Literal