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
from proveit.core_expr_types import v_i, v_j
from proveit.linear_algebra import Adj
from proveit.physics.quantum import Bra, Ket

# build up the expression from sub-expressions
expr = ExprTuple(Bra(v_i), Adj(U), U, Ket(v_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, U^{\dagger}, U, \lvert v_{j} \rangle\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, 11, 3
1	Operation	operator: 4 operand: 10
2	Operation	operator: 6 operand: 11
3	Operation	operator: 8 operand: 12
4	Literal
5	ExprTuple	10
6	Literal
7	ExprTuple	11
8	Literal
9	ExprTuple	12
10	IndexedVar	variable: 14 index: 16
11	Variable
12	IndexedVar	variable: 14 index: 17
13	ExprTuple	16
14	Variable
15	ExprTuple	17
16	Variable
17	Variable