Theorem sorted_digits of type And

from the theory of proveit.numbers.numerals.decimals

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.numerals.decimals import sorted_digits

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

Passed sanity check: sorted_digits matches stored_expr

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

0 < 1 < 2 < 3 < 4 < 5 < 6 < 7 < 8 < 9

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
as_total_ordering	When 'True', style the conjunction as a total ordering (e.g. x < y < z from (x < y) and (y < z))	None	True	('with_total_ordering_style',)

# display the expression information
stored_expr.expr_info()

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