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, U, alpha, n
from proveit.linear_algebra import Norm
from proveit.logic import And, CartExp, Equals, InSet
from proveit.numbers import Complex
from proveit.physics.quantum import Qmult, var_ket_psi

# build up the expression from sub-expressions
expr = Conditional(Equals(Norm(Qmult(U, var_ket_psi)), alpha), And(InSet(var_ket_psi, CartExp(Complex, n)), Equals(Norm(var_ket_psi), alpha)))

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 \|U \thinspace \lvert \psi \rangle\right \| = \alpha \textrm{ if } \lvert \psi \rangle \in \mathbb{C}^{n} ,  \left \|\lvert \psi \rangle\right \| = \alpha\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: 12 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 17
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 22 operand: 14
7	Operation	operator: 10 operands: 11
8	Operation	operator: 12 operands: 13
9	ExprTuple	14
10	Literal
11	ExprTuple	27, 15
12	Literal
13	ExprTuple	16, 17
14	Operation	operator: 18 operands: 19
15	Operation	operator: 20 operands: 21
16	Operation	operator: 22 operand: 27
17	Variable
18	Literal
19	ExprTuple	24, 27
20	Literal
21	ExprTuple	25, 26
22	Literal
23	ExprTuple	27
24	Variable
25	Literal
26	Variable
27	Variable