Expression of type ScalarMult

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.linear_algebra import ScalarMult, VecAdd, VecNeg
from proveit.numbers import frac, one, sqrt, two
from proveit.physics.quantum import ket0, ket1

# build up the expression from sub-expressions
expr = ScalarMult(frac(one, sqrt(two)), VecAdd(ket0, VecNeg(ket1)))

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())

\frac{1}{\sqrt{2}} \cdot \left(\lvert 0 \rangle + \left(-\lvert 1 \rangle\right)\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
3	Operation	operator: 19 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	24, 8
6	Literal
7	ExprTuple	9, 10
8	Operation	operator: 11 operands: 12
9	Operation	operator: 21 operand: 17
10	Operation	operator: 14 operand: 18
11	Literal
12	ExprTuple	23, 16
13	ExprTuple	17
14	Literal
15	ExprTuple	18
16	Operation	operator: 19 operands: 20
17	Literal
18	Operation	operator: 21 operand: 24
19	Literal
20	ExprTuple	24, 23
21	Literal
22	ExprTuple	24
23	Literal
24	Literal