Expression of type Conditional

from the theory of proveit.physics.quantum.algebra

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, a
from proveit.core_expr_types import B_1_to_j
from proveit.linear_algebra import ScalarMult
from proveit.logic import Equals, InClass
from proveit.physics.quantum import Qmult, QmultCodomain

# build up the expression from sub-expressions
sub_expr1 = Qmult(B_1_to_j)
expr = Conditional(Equals(Qmult(a, B_1_to_j), ScalarMult(a, sub_expr1)).with_wrapping_at(2), InClass(sub_expr1, QmultCodomain))

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\{\begin{array}{c} \begin{array}{l} \left(a\thinspace B_{1} \thinspace  B_{2} \thinspace  \ldots \thinspace  B_{j}\right) =  \\ \left(a \cdot \left(B_{1} \thinspace  B_{2} \thinspace  \ldots \thinspace  B_{j}\right)\right) \end{array} \end{array} \textrm{ if } \left(B_{1} \thinspace  B_{2} \thinspace  \ldots \thinspace  B_{j}\right) \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*}\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	14, 9
7	Operation	operator: 15 operands: 10
8	Operation	operator: 11 operands: 12
9	Literal
10	ExprTuple	13, 17
11	Literal
12	ExprTuple	13, 14
13	Variable
14	Operation	operator: 15 operands: 16
15	Literal
16	ExprTuple	17
17	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
18	Lambda	parameter: 24 body: 21
19	Literal
20	Variable
21	IndexedVar	variable: 22 index: 24
22	Variable
23	ExprTuple	24
24	Variable