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 ExprTuple, Function, Lambda, f, n
from proveit.logic import Equals
from proveit.numbers import Add, Interval, Sum, one, zero

# build up the expression from sub-expressions
sub_expr1 = [n]
expr = ExprTuple(Lambda(f, Equals(Sum(index_or_indices = sub_expr1, summand = Function(f, sub_expr1), domain = Interval(zero, one)), Add(Function(f, [zero]), Function(f, [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(f \mapsto \left(\left(\sum_{n = 0}^{1} f\left(n\right)\right) = \left(f\left(0\right) + f\left(1\right)\right)\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: 20 body: 3
2	ExprTuple	20
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operand: 12
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	12
10	Literal
11	ExprTuple	13, 14
12	Lambda	parameter: 24 body: 15
13	Operation	operator: 20 operand: 28
14	Operation	operator: 20 operand: 29
15	Conditional	value: 18 condition: 19
16	ExprTuple	28
17	ExprTuple	29
18	Operation	operator: 20 operand: 24
19	Operation	operator: 22 operands: 23
20	Variable
21	ExprTuple	24
22	Literal
23	ExprTuple	24, 25
24	Variable
25	Operation	operator: 26 operands: 27
26	Literal
27	ExprTuple	28, 29
28	Literal
29	Literal