Expression of type Conditional

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

# build up the expression from sub-expressions
expr = Conditional(ScalarMult(gamma, 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\{\gamma \cdot \left(x {\otimes} \left(y {\otimes} f\left(i\right)\right) {\otimes} z\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

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