Expression of type Conditional

from the theory of proveit.numbers.addition

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 Conditional, b
from proveit.core_expr_types import a_1_to_i, c_1_to_j
from proveit.logic import InSet
from proveit.numbers import Add, Real, greater_eq

# build up the expression from sub-expressions
expr = Conditional(greater_eq(Add(a_1_to_i, b, c_1_to_j), b), InSet(b, Real))

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(a_{1} +  a_{2} +  \ldots +  a_{i} + b+ c_{1} +  c_{2} +  \ldots +  c_{j}\right) \geq b \textrm{ if } b \in \mathbb{R}\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	12, 7
5	Literal
6	ExprTuple	12, 8
7	Operation	operator: 9 operands: 10
8	Literal
9	Literal
10	ExprTuple	11, 12, 13
11	ExprRange	lambda_map: 14 start_index: 17 end_index: 15
12	Variable
13	ExprRange	lambda_map: 16 start_index: 17 end_index: 18
14	Lambda	parameter: 24 body: 19
15	Variable
16	Lambda	parameter: 24 body: 20
17	Literal
18	Variable
19	IndexedVar	variable: 21 index: 24
20	IndexedVar	variable: 22 index: 24
21	Variable
22	Variable
23	ExprTuple	24
24	Variable