Expression of type Equals

from the theory of proveit.physics.quantum

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
from proveit.logic import Equals
from proveit.numbers import Add
from proveit.physics.quantum import inv_root2, ket0, ket1, ket_plus

# build up the expression from sub-expressions
expr = Equals(ket_plus, Add(ScalarMult(inv_root2, ket0), ScalarMult(inv_root2, 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())

\lvert + \rangle = \left(\left(\frac{1}{\sqrt{2}} \cdot \lvert 0 \rangle\right) + \left(\frac{1}{\sqrt{2}} \cdot \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',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# 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 operand: 8
4	Operation	operator: 6 operands: 7
5	ExprTuple	8
6	Literal
7	ExprTuple	9, 10
8	Literal
9	Operation	operator: 12 operands: 11
10	Operation	operator: 12 operands: 13
11	ExprTuple	15, 14
12	Literal
13	ExprTuple	15, 16
14	Operation	operator: 19 operand: 21
15	Operation	operator: 26 operands: 18
16	Operation	operator: 19 operand: 28
17	ExprTuple	21
18	ExprTuple	28, 22
19	Literal
20	ExprTuple	28
21	Literal
22	Operation	operator: 23 operands: 24
23	Literal
24	ExprTuple	29, 25
25	Operation	operator: 26 operands: 27
26	Literal
27	ExprTuple	28, 29
28	Literal
29	Literal