Expression of type ExprTuple

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, ExprTuple, Lambda, 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 = ExprTuple(Lambda(var_ket_psi, 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(\lvert \psi \rangle \mapsto \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..\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: 29 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 14 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 19
6	Literal
7	ExprTuple	9, 10
8	Operation	operator: 24 operand: 16
9	Operation	operator: 12 operands: 13
10	Operation	operator: 14 operands: 15
11	ExprTuple	16
12	Literal
13	ExprTuple	29, 17
14	Literal
15	ExprTuple	18, 19
16	Operation	operator: 20 operands: 21
17	Operation	operator: 22 operands: 23
18	Operation	operator: 24 operand: 29
19	Variable
20	Literal
21	ExprTuple	26, 29
22	Literal
23	ExprTuple	27, 28
24	Literal
25	ExprTuple	29
26	Variable
27	Literal
28	Variable
29	Variable