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 CartExp, InSet
from proveit.numbers import Interval, Real, one, three

# build up the expression from sub-expressions
sub_expr1 = CartExp(Real, three)
expr = ExprTuple(Lambda(i, Conditional(InSet(TensorProd(x, fi, z), TensorProd(sub_expr1, sub_expr1, sub_expr1)), 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\{\left(x {\otimes} f\left(i\right) {\otimes} z\right) \in \left(\mathbb{R}^{3} {\otimes} \mathbb{R}^{3} {\otimes} \mathbb{R}^{3}\right) \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: 25 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	25, 10
8	Operation	operator: 12 operands: 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 14 operands: 15
11	ExprTuple	16, 17, 18
12	Literal
13	ExprTuple	19, 19, 19
14	Literal
15	ExprTuple	20, 27
16	Variable
17	Operation	operator: 21 operand: 25
18	Variable
19	Operation	operator: 23 operands: 24
20	Literal
21	Variable
22	ExprTuple	25
23	Literal
24	ExprTuple	26, 27
25	Variable
26	Literal
27	Literal