Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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, beta, gamma, i
from proveit.logic import InSet
from proveit.numbers import Add, Interval, Mult, four, one, two

# build up the expression from sub-expressions
sub_expr1 = Add(i, one)
sub_expr2 = InSet(i, Interval(two, four))
expr = ExprTuple(Lambda(i, Conditional(Mult(gamma, i, beta, sub_expr1), sub_expr2)), Lambda(i, Conditional(Mult(beta, gamma, i, sub_expr1), 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(i \mapsto \left\{\gamma \cdot i \cdot \beta \cdot \left(i + 1\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\right.., i \mapsto \left\{\beta \cdot \gamma \cdot i \cdot \left(i + 1\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\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: 22 body: 3
2	Lambda	parameter: 22 body: 5
3	Conditional	value: 6 condition: 8
4	ExprTuple	22
5	Conditional	value: 7 condition: 8
6	Operation	operator: 10 operands: 9
7	Operation	operator: 10 operands: 11
8	Operation	operator: 12 operands: 13
9	ExprTuple	15, 22, 14, 16
10	Literal
11	ExprTuple	14, 15, 22, 16
12	Literal
13	ExprTuple	22, 17
14	Variable
15	Variable
16	Operation	operator: 18 operands: 19
17	Operation	operator: 20 operands: 21
18	Literal
19	ExprTuple	22, 23
20	Literal
21	ExprTuple	24, 25
22	Variable
23	Literal
24	Literal
25	Literal