Expression of type Qmult

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, B, C, alpha, beta
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, bra_varphi, ket_psi

# build up the expression from sub-expressions
expr = Qmult(Qmult(bra_varphi, alpha, VecAdd(A, B, C), beta), ket_psi)

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 \varphi \rvert \thinspace \alpha \thinspace \left(A + B + C\right) \thinspace \beta\right) \thinspace \lvert \psi \rangle

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 4 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 4 operands: 5
3	Operation	operator: 6 operand: 12
4	Literal
5	ExprTuple	8, 9, 10, 11
6	Literal
7	ExprTuple	12
8	Operation	operator: 13 operand: 17
9	Variable
10	Operation	operator: 15 operands: 16
11	Variable
12	Variable
13	Literal
14	ExprTuple	17
15	Literal
16	ExprTuple	18, 19, 20
17	Variable
18	Variable
19	Variable
20	Variable