Expression of type ExprTuple

from the theory of proveit.logic.sets.enumeration

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, m, n
from proveit.core_expr_types import a_1_to_m, c_1_to_n
from proveit.logic import Equals, InSet, Or, Set
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(InSet(b, Set(a_1_to_m, b, c_1_to_n)), Or(ExprRange(sub_expr1, Equals(b, IndexedVar(a, sub_expr1)), one, m), Equals(b, b), ExprRange(sub_expr1, Equals(b, IndexedVar(c, sub_expr1)), one, n)))

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(b \in \left\{a_{1}, a_{2}, \ldots, a_{m}, b,c_{1}, c_{2}, \ldots, c_{n}\right\}, \left(b = a_{1}\right) \lor  \left(b = a_{2}\right) \lor  \ldots \lor  \left(b = a_{m}\right) \lor \left(b = b\right)\lor \left(b = c_{1}\right) \lor  \left(b = c_{2}\right) \lor  \ldots \lor  \left(b = c_{n}\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: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	29, 7
5	Literal
6	ExprTuple	8, 9, 10
7	Operation	operator: 11 operands: 12
8	ExprRange	lambda_map: 13 start_index: 23 end_index: 21
9	Operation	operator: 26 operands: 14
10	ExprRange	lambda_map: 15 start_index: 23 end_index: 24
11	Literal
12	ExprTuple	16, 29, 17
13	Lambda	parameter: 34 body: 18
14	ExprTuple	29, 29
15	Lambda	parameter: 34 body: 19
16	ExprRange	lambda_map: 20 start_index: 23 end_index: 21
17	ExprRange	lambda_map: 22 start_index: 23 end_index: 24
18	Operation	operator: 26 operands: 25
19	Operation	operator: 26 operands: 27
20	Lambda	parameter: 34 body: 28
21	Variable
22	Lambda	parameter: 34 body: 30
23	Literal
24	Variable
25	ExprTuple	29, 28
26	Literal
27	ExprTuple	29, 30
28	IndexedVar	variable: 31 index: 34
29	Variable
30	IndexedVar	variable: 32 index: 34
31	Variable
32	Variable
33	ExprTuple	34
34	Variable