Expression of type ExprTuple

from the theory of proveit.numbers.ordering

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 Conditional, ExprRange, ExprTuple, Variable, b, c
from proveit.core_expr_types import Len
from proveit.numbers import Less, LessEq, one, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [Conditional(b, LessEq(b, c)), Conditional(c, Less(c, b))]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, two)]))

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(b \textrm{ if } b \leq c, c \textrm{ if } c < b\right)|, |\left(1, \ldots, 2\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	8
6	Conditional	value: 20 condition: 9
7	Conditional	value: 19 condition: 10
8	ExprRange	lambda_map: 11 start_index: 12 end_index: 13
9	Operation	operator: 14 operands: 15
10	Operation	operator: 16 operands: 17
11	Lambda	parameter: 21 body: 21
12	Literal
13	Literal
14	Literal
15	ExprTuple	20, 19
16	Literal
17	ExprTuple	19, 20
18	ExprTuple	21
19	Variable
20	Variable
21	Variable