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 A, D, ExprTuple, alpha, beta
from proveit.linear_algebra import VecAdd
from proveit.logic import Equals, InClass
from proveit.physics.quantum import Qmult, QmultCodomain, ket_psi, ket_varphi

# build up the expression from sub-expressions
sub_expr1 = Qmult(D, ket_varphi)
sub_expr2 = Qmult(alpha, A, beta, VecAdd(ket_psi, sub_expr1))
expr = ExprTuple(InClass(sub_expr2, QmultCodomain), Equals(sub_expr2, VecAdd(Qmult(alpha, A, beta, ket_psi), Qmult(alpha, A, beta, sub_expr1))).with_wrapping_at(2))

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(\alpha \thinspace A \thinspace \beta \thinspace \left(\lvert \psi \rangle + \left(D \thinspace \lvert \varphi \rangle\right)\right)\right) \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*}, \begin{array}{c} \begin{array}{l} \left(\alpha \thinspace A \thinspace \beta \thinspace \left(\lvert \psi \rangle + \left(D \thinspace \lvert \varphi \rangle\right)\right)\right) =  \\ \left(\left(\alpha \thinspace A \thinspace \beta \thinspace \lvert \psi \rangle\right) + \left(\alpha \thinspace A \thinspace \beta \thinspace \left(D \thinspace \lvert \varphi \rangle\right)\right)\right) \end{array} \end{array}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	8, 7
5	Literal
6	ExprTuple	8, 9
7	Literal
8	Operation	operator: 25 operands: 10
9	Operation	operator: 15 operands: 11
10	ExprTuple	20, 21, 22, 12
11	ExprTuple	13, 14
12	Operation	operator: 15 operands: 16
13	Operation	operator: 25 operands: 17
14	Operation	operator: 25 operands: 18
15	Literal
16	ExprTuple	19, 23
17	ExprTuple	20, 21, 22, 19
18	ExprTuple	20, 21, 22, 23
19	Operation	operator: 30 operand: 27
20	Variable
21	Variable
22	Variable
23	Operation	operator: 25 operands: 26
24	ExprTuple	27
25	Literal
26	ExprTuple	28, 29
27	Variable
28	Variable
29	Operation	operator: 30 operand: 32
30	Literal
31	ExprTuple	32
32	Variable