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, z
from proveit.linear_algebra import TensorProd
from proveit.logic import InSet
from proveit.numbers import Interval, one, three

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

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} f\left(i\right) {\otimes} z \textrm{ if } i \in \{1~\ldotp \ldotp~3\}\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: 17 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, 11
7	Literal
8	ExprTuple	17, 12
9	Variable
10	Operation	operator: 13 operand: 17
11	Variable
12	Operation	operator: 15 operands: 16
13	Variable
14	ExprTuple	17
15	Literal
16	ExprTuple	18, 19
17	Variable
18	Literal
19	Literal