Theorem bounds_for_real_not_in_interval_co of type Forall

from the theory of proveit.numbers.number_sets.real_numbers

see dependencies

import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.numbers.number_sets.real_numbers import bounds_for_real_not_in_interval_co

# check that the built expression is the same as the stored expression
assert bounds_for_real_not_in_interval_co.expr == stored_expr
assert bounds_for_real_not_in_interval_co.expr._style_id == stored_expr._style_id
print("Passed sanity check: bounds_for_real_not_in_interval_co matches stored_expr")

Passed sanity check: bounds_for_real_not_in_interval_co matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\forall_{a, b, x \in \mathbb{R}~|~x \notin \left[a,b\right)}~\left(\left(x < a\right) \lor \left(b \leq x\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
with_wrapping	If 'True', wrap the Expression after the parameters	None	None/False	('with_wrapping',)
condition_wrapping	Wrap 'before' or 'after' the condition (or None).	None	None/False	('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_params	If 'True', wraps every two parameters AND wraps the Expression after the parameters	None	None/False	('with_params',)
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	Lambda	parameters: 4 body: 5
4	ExprTuple	33, 34, 29
5	Conditional	value: 6 condition: 7
6	Operation	operator: 8 operands: 9
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	12, 13
10	Literal
11	ExprTuple	14, 15, 16, 17
12	Operation	operator: 18 operands: 19
13	Operation	operator: 20 operands: 21
14	Operation	operator: 24 operands: 22
15	Operation	operator: 24 operands: 23
16	Operation	operator: 24 operands: 25
17	Operation	operator: 26 operands: 27
18	Literal
19	ExprTuple	29, 33
20	Literal
21	ExprTuple	34, 29
22	ExprTuple	33, 28
23	ExprTuple	34, 28
24	Literal
25	ExprTuple	29, 28
26	Literal
27	ExprTuple	29, 30
28	Literal
29	Variable
30	Operation	operator: 31 operands: 32
31	Literal
32	ExprTuple	33, 34
33	Variable
34	Variable