Expression of type ExprTuple

from the theory of proveit.core_expr_types.conditionals

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 Conditional, ExprRange, ExprTuple, IndexedVar, Variable, a, b, c, m, n
from proveit.logic import FALSE
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, Conditional(IndexedVar(a, sub_expr1), FALSE), one, m), b, ExprRange(sub_expr1, Conditional(IndexedVar(c, sub_expr1), FALSE), 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(\left\{a_{1} \textrm{ if } \bot\right.., \left\{a_{2} \textrm{ if } \bot\right.., \ldots, \left\{a_{m} \textrm{ if } \bot\right.., b,\left\{c_{1} \textrm{ if } \bot\right.., \left\{c_{2} \textrm{ if } \bot\right.., \ldots, \left\{c_{n} \textrm{ if } \bot\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, 3
1	ExprRange	lambda_map: 4 start_index: 7 end_index: 5
2	Variable
3	ExprRange	lambda_map: 6 start_index: 7 end_index: 8
4	Lambda	parameter: 17 body: 9
5	Variable
6	Lambda	parameter: 17 body: 10
7	Literal
8	Variable
9	Conditional	value: 11 condition: 13
10	Conditional	value: 12 condition: 13
11	IndexedVar	variable: 14 index: 17
12	IndexedVar	variable: 15 index: 17
13	Literal
14	Variable
15	Variable
16	ExprTuple	17
17	Variable