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, fi, i, x, y, z
from proveit.linear_algebra import TensorProd
from proveit.logic import InSet
from proveit.numbers import Interval, four, two

# build up the expression from sub-expressions
sub_expr1 = InSet(i, Interval(two, four))
expr = ExprTuple(Lambda(i, Conditional(TensorProd(x, y, fi, z), sub_expr1)), Lambda(i, Conditional(TensorProd(x, TensorProd(y, fi), z), sub_expr1)))

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\{x {\otimes} y {\otimes} f\left(i\right) {\otimes} z \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\right.., i \mapsto \left\{x {\otimes} \left(y {\otimes} f\left(i\right)\right) {\otimes} z \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: 26 body: 3
2	Lambda	parameter: 26 body: 4
3	Conditional	value: 5 condition: 7
4	Conditional	value: 6 condition: 7
5	Operation	operator: 16 operands: 8
6	Operation	operator: 16 operands: 9
7	Operation	operator: 10 operands: 11
8	ExprTuple	12, 20, 21, 14
9	ExprTuple	12, 13, 14
10	Literal
11	ExprTuple	26, 15
12	Variable
13	Operation	operator: 16 operands: 17
14	Variable
15	Operation	operator: 18 operands: 19
16	Literal
17	ExprTuple	20, 21
18	Literal
19	ExprTuple	22, 23
20	Variable
21	Operation	operator: 24 operand: 26
22	Literal
23	Literal
24	Variable
25	ExprTuple	26
26	Variable