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 ExprRange, ExprTuple, Variable, a, b, c, d, e
from proveit.core_expr_types import Len
from proveit.logic import Equals
from proveit.numbers import Less, LessEq, four, one

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

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 < a, a \leq c, c = d, d \leq e\right)|, |\left(1, 2, \ldots, 4\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, 8, 9
4	Literal
5	ExprTuple	10
6	Operation	operator: 11 operands: 12
7	Operation	operator: 16 operands: 13
8	Operation	operator: 14 operands: 15
9	Operation	operator: 16 operands: 17
10	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
11	Literal
12	ExprTuple	21, 22
13	ExprTuple	22, 23
14	Literal
15	ExprTuple	23, 24
16	Literal
17	ExprTuple	24, 25
18	Lambda	parameter: 27 body: 27
19	Literal
20	Literal
21	Variable
22	Variable
23	Variable
24	Variable
25	Variable
26	ExprTuple	27
27	Variable