Expression of type ExprTuple

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 Conditional, ExprTuple, Function, Lambda, a, b, f, x
from proveit.logic import InSet
from proveit.numbers import Interval, Neg

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Function(f, [Neg(x)]), InSet(x, Interval(Neg(b), Neg(a))))))

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(x \mapsto \left\{f\left(-x\right) \textrm{ if } x \in \{-b~\ldotp \ldotp~-a\}\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: 14 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operand: 9
4	Operation	operator: 7 operands: 8
5	Variable
6	ExprTuple	9
7	Literal
8	ExprTuple	14, 10
9	Operation	operator: 18 operand: 14
10	Operation	operator: 12 operands: 13
11	ExprTuple	14
12	Literal
13	ExprTuple	15, 16
14	Variable
15	Operation	operator: 18 operand: 20
16	Operation	operator: 18 operand: 21
17	ExprTuple	20
18	Literal
19	ExprTuple	21
20	Variable
21	Variable