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, Lambda, Q, Qx, f, fx, x
from proveit.logic import Forall, Implies, InSet
from proveit.numbers import Real, Sum

# build up the expression from sub-expressions
sub_expr1 = [x]
expr = ExprTuple(Lambda([f, Q], Implies(Forall(instance_param_or_params = sub_expr1, instance_expr = InSet(fx, Real), condition = Qx), InSet(Sum(index_or_indices = sub_expr1, summand = fx, condition = Qx), 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(f, Q\right) \mapsto \left(\left[\forall_{x~|~Q\left(x\right)}~\left(f\left(x\right) \in \mathbb{R}\right)\right] \Rightarrow \left(\left[\sum_{x~|~Q\left(x\right)}~f\left(x\right)\right] \in \mathbb{R}\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	parameters: 2 body: 3
2	ExprTuple	24, 25
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operand: 11
7	Operation	operator: 18 operands: 10
8	Literal
9	ExprTuple	11
10	ExprTuple	12, 21
11	Lambda	parameter: 27 body: 13
12	Operation	operator: 14 operand: 17
13	Conditional	value: 16 condition: 23
14	Literal
15	ExprTuple	17
16	Operation	operator: 18 operands: 19
17	Lambda	parameter: 27 body: 20
18	Literal
19	ExprTuple	22, 21
20	Conditional	value: 22 condition: 23
21	Literal
22	Operation	operator: 24 operand: 27
23	Operation	operator: 25 operand: 27
24	Variable
25	Variable
26	ExprTuple	27
27	Variable