Expression of type ExprTuple

from the theory of proveit.numbers.absolute_value

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, IndexedVar, Lambda, Variable, a, b, c, x
from proveit.core_expr_types import Len
from proveit.numbers import four, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [Lambda(sub_expr1, a), Lambda(sub_expr1, b), Lambda(sub_expr2, IndexedVar(x, sub_expr2)), Lambda(sub_expr1, c)]), Len(operands = [ExprRange(sub_expr2, sub_expr2, 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} \mapsto a, {_{-}b} \mapsto b, {_{-}a} \mapsto x_{{_{-}a}}, {_{-}b} \mapsto c\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	Lambda	parameter: 20 body: 11
7	Lambda	parameter: 20 body: 12
8	Lambda	parameter: 22 body: 13
9	Lambda	parameter: 20 body: 15
10	ExprRange	lambda_map: 16 start_index: 17 end_index: 18
11	Variable
12	Variable
13	IndexedVar	variable: 19 index: 22
14	ExprTuple	20
15	Variable
16	Lambda	parameter: 22 body: 22
17	Literal
18	Literal
19	Variable
20	Variable
21	ExprTuple	22
22	Variable