Expression of type And

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, X, Y
from proveit.linear_algebra import Hspace, LinMap
from proveit.logic import And, InSet
from proveit.physics.quantum import Qmult

# build up the expression from sub-expressions
expr = And(InSet(Qmult(A), LinMap(X, Y)), InSet(Qmult(B), LinMap(Hspace, X)))

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[A\right] \in \mathcal{L}\left(X, Y\right)\right) \land \left(\left[B\right] \in \mathcal{L}\left(\mathcal{H}, X\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: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 11
8	Operation	operator: 14 operand: 18
9	Operation	operator: 16 operands: 13
10	Operation	operator: 14 operand: 20
11	Operation	operator: 16 operands: 17
12	ExprTuple	18
13	ExprTuple	22, 19
14	Literal
15	ExprTuple	20
16	Literal
17	ExprTuple	21, 22
18	Variable
19	Variable
20	Variable
21	Variable
22	Variable