Expression of type ExprTuple

from the theory of proveit.numbers.integration

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, a, b, fx, x
from proveit.logic import Forall, InSet
from proveit.numbers import Integrate, IntervalCC, Real

# build up the expression from sub-expressions
sub_expr1 = [x]
sub_expr2 = IntervalCC(a, b)
expr = ExprTuple(Forall(instance_param_or_params = sub_expr1, instance_expr = InSet(fx, Real), domain = sub_expr2), InSet(Integrate(index_or_indices = sub_expr1, integrand = fx, domain = sub_expr2), 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(\forall_{x \in \left[a,b\right]}~\left(f\left(x\right) \in \mathbb{R}\right), \left(\int_{a}^{b} f\left(x\right)\,dx\right) \in \mathbb{R}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

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