Expression of type InClass

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 B, D, alpha, beta
from proveit.linear_algebra import VecAdd
from proveit.logic import InClass
from proveit.physics.quantum import Qmult, QmultCodomain, ket_psi, ket_varphi

# build up the expression from sub-expressions
expr = InClass(Qmult(Qmult(alpha, D, beta), VecAdd(Qmult(B, ket_psi), ket_varphi)), QmultCodomain)

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(\left(\alpha \thinspace D \thinspace \beta\right) \thinspace \left(\left(B \thinspace \lvert \psi \rangle\right) + \lvert \varphi \rangle\right)\right) \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*}

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