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 B, D, ExprTuple, alpha, beta
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, ket_psi, ket_varphi

# build up the expression from sub-expressions
sub_expr1 = VecAdd(Qmult(B, ket_psi), ket_varphi)
expr = ExprTuple(Qmult(alpha, D, beta, sub_expr1), Qmult(Qmult(alpha, D, beta), sub_expr1))

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(\alpha \thinspace D \thinspace \beta \thinspace \left(\left(B \thinspace \lvert \psi \rangle\right) + \lvert \varphi \rangle\right), \left(\alpha \thinspace D \thinspace \beta\right) \thinspace \left(\left(B \thinspace \lvert \psi \rangle\right) + \lvert \varphi \rangle\right)\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: 15 operands: 3
2	Operation	operator: 15 operands: 4
3	ExprTuple	10, 11, 12, 6
4	ExprTuple	5, 6
5	Operation	operator: 15 operands: 7
6	Operation	operator: 8 operands: 9
7	ExprTuple	10, 11, 12
8	Literal
9	ExprTuple	13, 14
10	Variable
11	Variable
12	Variable
13	Operation	operator: 15 operands: 16
14	Operation	operator: 21 operand: 20
15	Literal
16	ExprTuple	18, 19
17	ExprTuple	20
18	Variable
19	Operation	operator: 21 operand: 23
20	Variable
21	Literal
22	ExprTuple	23
23	Variable