Expression of type ExprTuple

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, ExprTuple, Lambda, 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

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(b, Conditional(greater(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(b \mapsto \left\{\left(a_{1} +  a_{2} +  \ldots +  a_{i} + b+ c_{1} +  c_{2} +  \ldots +  c_{j}\right) > b \textrm{ if } b \in \mathbb{R}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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