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, IndexedVar, Variable, a, b, c, d, k, m, n
from proveit.numbers import DecimalSequence, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, m)
sub_expr3 = ExprRange(sub_expr1, IndexedVar(d, sub_expr1), one, k)
expr = ExprTuple(DecimalSequence(sub_expr2, ExprRange(sub_expr1, b, one, n), sub_expr3), DecimalSequence(sub_expr2, ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, n), sub_expr3))

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(\texttt{\#}(a_{1}, a_{2}, \ldots, a_{m} ~ b, b, ..\left(n - 3\right) \times.., b ~ d_{1}, d_{2}, \ldots, d_{k}), \texttt{\#}(a_{1}, a_{2}, \ldots, a_{m} ~ c_{1}, c_{2}, \ldots, c_{n} ~ d_{1}, d_{2}, \ldots, d_{k})\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	7, 6, 9
4	Literal
5	ExprTuple	7, 8, 9
6	ExprRange	lambda_map: 10 start_index: 16 end_index: 14
7	ExprRange	lambda_map: 11 start_index: 16 end_index: 12
8	ExprRange	lambda_map: 13 start_index: 16 end_index: 14
9	ExprRange	lambda_map: 15 start_index: 16 end_index: 17
10	Lambda	parameter: 26 body: 18
11	Lambda	parameter: 26 body: 19
12	Variable
13	Lambda	parameter: 26 body: 20
14	Variable
15	Lambda	parameter: 26 body: 21
16	Literal
17	Variable
18	Variable
19	IndexedVar	variable: 22 index: 26
20	IndexedVar	variable: 23 index: 26
21	IndexedVar	variable: 24 index: 26
22	Variable
23	Variable
24	Variable
25	ExprTuple	26
26	Variable