Expression of type ExprTuple

from the theory of proveit.numbers.summation

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, ExprTuple, Lambda, a, b, l
from proveit.logic import InSet
from proveit.numbers import Add, Integer, Mult, one

# build up the expression from sub-expressions
sub_expr1 = Add(l, one)
sub_expr2 = InSet(l, Integer)
expr = ExprTuple(Lambda(l, Conditional(Mult(a, b, sub_expr1), sub_expr2)), Lambda(l, Conditional(Mult(sub_expr1, Mult(a, b)), sub_expr2)))

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(l \mapsto \left\{a \cdot b \cdot \left(l + 1\right) \textrm{ if } l \in \mathbb{Z}\right.., l \mapsto \left\{\left(l + 1\right) \cdot \left(a \cdot b\right) \textrm{ if } l \in \mathbb{Z}\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	Lambda	parameter: 20 body: 3
2	Lambda	parameter: 20 body: 5
3	Conditional	value: 6 condition: 8
4	ExprTuple	20
5	Conditional	value: 7 condition: 8
6	Operation	operator: 18 operands: 9
7	Operation	operator: 18 operands: 10
8	Operation	operator: 11 operands: 12
9	ExprTuple	22, 23, 13
10	ExprTuple	13, 14
11	Literal
12	ExprTuple	20, 15
13	Operation	operator: 16 operands: 17
14	Operation	operator: 18 operands: 19
15	Literal
16	Literal
17	ExprTuple	20, 21
18	Literal
19	ExprTuple	22, 23
20	Variable
21	Literal
22	Variable
23	Variable