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 ExprTuple, U, i, j
from proveit.core_expr_types import v_i, v_j
from proveit.linear_algebra import Adj
from proveit.numbers import KroneckerDelta
from proveit.physics.quantum import Bra, Ket, Qmult

# build up the expression from sub-expressions
expr = ExprTuple(Qmult(Bra(v_i), Adj(U), U, Ket(v_j)), KroneckerDelta(i, j))

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(\langle v_{i} \rvert \thinspace U^{\dagger} \thinspace U \thinspace \lvert v_{j} \rangle, \delta_{i, j}\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	7, 8, 17, 9
5	Literal
6	ExprTuple	22, 23
7	Operation	operator: 10 operand: 16
8	Operation	operator: 12 operand: 17
9	Operation	operator: 14 operand: 18
10	Literal
11	ExprTuple	16
12	Literal
13	ExprTuple	17
14	Literal
15	ExprTuple	18
16	IndexedVar	variable: 20 index: 22
17	Variable
18	IndexedVar	variable: 20 index: 23
19	ExprTuple	22
20	Variable
21	ExprTuple	23
22	Variable
23	Variable