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, Lambda, i
from proveit.logic import InSet
from proveit.numbers import Add, Interval, one, six, subtract, two

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(i, Conditional(Add(subtract(i, one), two), InSet(i, Interval(Add(two, one), Add(six, 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(i \mapsto \left\{\left(i - 1\right) + 2 \textrm{ if } i \in \{2 + 1~\ldotp \ldotp~6 + 1\}\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: 3
2	ExprTuple	14
3	Conditional	value: 4 condition: 5
4	Operation	operator: 21 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 23
7	Literal
8	ExprTuple	14, 10
9	Operation	operator: 21 operands: 11
10	Operation	operator: 12 operands: 13
11	ExprTuple	14, 15
12	Literal
13	ExprTuple	16, 17
14	Variable
15	Operation	operator: 18 operand: 25
16	Operation	operator: 21 operands: 20
17	Operation	operator: 21 operands: 22
18	Literal
19	ExprTuple	25
20	ExprTuple	23, 25
21	Literal
22	ExprTuple	24, 25
23	Literal
24	Literal
25	Literal