Expression of type ExprTuple

from the theory of proveit.numbers.numerals.decimals

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, Lambda, Variable
from proveit.core_expr_types import Len
from proveit.numbers import eight, five, four, nine, one, seven, six, three, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr3 = Lambda(sub_expr1, seven)
expr = ExprTuple(Len(operands = [Lambda(sub_expr1, three), Lambda(sub_expr1, eight), Lambda(sub_expr1, six), sub_expr3, Lambda(sub_expr1, four), Lambda(sub_expr2, nine), Lambda(sub_expr1, five), sub_expr3, Lambda(sub_expr1, two)]), Len(operands = [ExprRange(sub_expr2, sub_expr2, one, nine)]))

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 3, {_{-}b} \mapsto 8, {_{-}b} \mapsto 6, {_{-}b} \mapsto 7, {_{-}b} \mapsto 4, {_{-}a} \mapsto 9, {_{-}b} \mapsto 5, {_{-}b} \mapsto 7, {_{-}b} \mapsto 2\right)|, |\left(1, 2, \ldots, 9\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, 12, 9, 10, 11, 12, 13
4	Literal
5	ExprTuple	14
6	Lambda	parameter: 26 body: 15
7	Lambda	parameter: 26 body: 16
8	Lambda	parameter: 26 body: 17
9	Lambda	parameter: 26 body: 18
10	Lambda	parameter: 28 body: 25
11	Lambda	parameter: 26 body: 19
12	Lambda	parameter: 26 body: 20
13	Lambda	parameter: 26 body: 22
14	ExprRange	lambda_map: 23 start_index: 24 end_index: 25
15	Literal
16	Literal
17	Literal
18	Literal
19	Literal
20	Literal
21	ExprTuple	26
22	Literal
23	Lambda	parameter: 28 body: 28
24	Literal
25	Literal
26	Variable
27	ExprTuple	28
28	Variable