Expression of type LessEq

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 a, b, fx, x
from proveit.numbers import Integrate, Interval, IntervalCC, LessEq, Sum, one, subtract

# build up the expression from sub-expressions
sub_expr1 = [x]
expr = LessEq(Sum(index_or_indices = sub_expr1, summand = fx, domain = Interval(a, b)), Integrate(index_or_indices = sub_expr1, integrand = fx, domain = IntervalCC(subtract(a, one), b)))

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_{x = a}^{b} f\left(x\right)\right) \leq \left(\int_{a - 1}^{b} f\left(x\right)\,dx\right)

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 operand: 10
5	Literal
6	ExprTuple	9
7	Literal
8	ExprTuple	10
9	Lambda	parameter: 22 body: 11
10	Lambda	parameter: 22 body: 12
11	Conditional	value: 14 condition: 13
12	Conditional	value: 14 condition: 15
13	Operation	operator: 19 operands: 16
14	Operation	operator: 17 operand: 22
15	Operation	operator: 19 operands: 20
16	ExprTuple	22, 21
17	Variable
18	ExprTuple	22
19	Literal
20	ExprTuple	22, 23
21	Operation	operator: 24 operands: 25
22	Variable
23	Operation	operator: 26 operands: 27
24	Literal
25	ExprTuple	32, 29
26	Literal
27	ExprTuple	28, 29
28	Operation	operator: 30 operands: 31
29	Variable
30	Literal
31	ExprTuple	32, 33
32	Variable
33	Operation	operator: 34 operand: 36
34	Literal
35	ExprTuple	36
36	Literal