Expression of type VecAdd

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, delta, gamma
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, bra_varphi, ket_psi

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

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

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: 1 operands: 2
1	Literal
2	ExprTuple	3, 4, 5
3	Operation	operator: 8 operands: 6
4	Operation	operator: 8 operands: 7
5	Operation	operator: 8 operands: 9
6	ExprTuple	17, 12, 10, 14, 15, 16, 17, 18
7	ExprTuple	17, 12, 11, 14, 15, 16, 17, 18
8	Literal
9	ExprTuple	17, 12, 13, 14, 15, 16, 17, 18
10	Variable
11	Variable
12	Variable
13	Variable
14	Variable
15	Operation	operator: 19 operand: 23
16	Variable
17	Operation	operator: 21 operand: 24
18	Variable
19	Literal
20	ExprTuple	23
21	Literal
22	ExprTuple	24
23	Variable
24	Variable