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, beta, gamma, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd
from proveit.logic import Equals, InSet
from proveit.numbers import Add, Interval, Mult, four, one, two

# build up the expression from sub-expressions
sub_expr1 = Add(i, one)
sub_expr2 = TensorProd(x, y)
expr = Conditional(Equals(ScalarMult(ScalarMult(gamma, i), ScalarMult(beta, ScalarMult(sub_expr1, sub_expr2))), ScalarMult(Mult(gamma, i, beta, sub_expr1), sub_expr2)), 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\{\left(\left(\gamma \cdot i\right) \cdot \left(\beta \cdot \left(\left(i + 1\right) \cdot \left(x {\otimes} y\right)\right)\right)\right) = \left(\left(\gamma \cdot i \cdot \beta \cdot \left(i + 1\right)\right) \cdot \left(x {\otimes} y\right)\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	34, 9
7	Operation	operator: 26 operands: 10
8	Operation	operator: 26 operands: 11
9	Operation	operator: 12 operands: 13
10	ExprTuple	14, 15
11	ExprTuple	16, 29
12	Literal
13	ExprTuple	17, 18
14	Operation	operator: 26 operands: 19
15	Operation	operator: 26 operands: 20
16	Operation	operator: 21 operands: 22
17	Literal
18	Literal
19	ExprTuple	24, 34
20	ExprTuple	25, 23
21	Literal
22	ExprTuple	24, 34, 25, 28
23	Operation	operator: 26 operands: 27
24	Variable
25	Variable
26	Literal
27	ExprTuple	28, 29
28	Operation	operator: 30 operands: 31
29	Operation	operator: 32 operands: 33
30	Literal
31	ExprTuple	34, 35
32	Literal
33	ExprTuple	36, 37
34	Variable
35	Literal
36	Variable
37	Variable