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 Equals, InSet
from proveit.numbers import Interval, four, two

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

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\{\left(x {\otimes} y {\otimes} f\left(i\right) {\otimes} z\right) = \left(x {\otimes} \left(y {\otimes} f\left(i\right)\right) {\otimes} z\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 27 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	27, 11
9	Operation	operator: 21 operands: 12
10	Operation	operator: 21 operands: 13
11	Operation	operator: 14 operands: 15
12	ExprTuple	16, 23, 24, 18
13	ExprTuple	16, 17, 18
14	Literal
15	ExprTuple	19, 20
16	Variable
17	Operation	operator: 21 operands: 22
18	Variable
19	Literal
20	Literal
21	Literal
22	ExprTuple	23, 24
23	Variable
24	Operation	operator: 25 operand: 27
25	Variable
26	ExprTuple	27
27	Variable