Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.real_numbers

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, x
from proveit.logic import And, InSet
from proveit.numbers import IntervalOC, Less, LessEq, Real

# build up the expression from sub-expressions
expr = ExprTuple(InSet(x, IntervalOC(a, b)), And(InSet(x, Real), And(Less(a, x), LessEq(x, b)).with_total_ordering_style()))

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 \in \left(a,b\right], \left(x \in \mathbb{R}\right) \land \left(a < x \leq b\right)\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: 10 operands: 3
2	Operation	operator: 12 operands: 4
3	ExprTuple	22, 5
4	ExprTuple	6, 7
5	Operation	operator: 8 operands: 9
6	Operation	operator: 10 operands: 11
7	Operation	operator: 12 operands: 13
8	Literal
9	ExprTuple	21, 23
10	Literal
11	ExprTuple	22, 14
12	Literal
13	ExprTuple	15, 16
14	Literal
15	Operation	operator: 17 operands: 18
16	Operation	operator: 19 operands: 20
17	Literal
18	ExprTuple	21, 22
19	Literal
20	ExprTuple	22, 23
21	Variable
22	Variable
23	Variable