logo

Expression of type ExprTuple

from the theory of proveit.physics.quantum.algebra

In [1]:
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, ExprTuple
from proveit.linear_algebra import Adj, Hspace, LinMap
from proveit.logic import Equals, InSet
In [2]:
# build up the expression from sub-expressions
sub_expr1 = LinMap(Hspace, Hspace)
expr = ExprTuple(InSet(A, sub_expr1), InSet(B, sub_expr1), Equals(Adj(A), A), Equals(Adj(B), B))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(A \in \mathcal{L}\left(\mathcal{H}, \mathcal{H}\right), B \in \mathcal{L}\left(\mathcal{H}, \mathcal{H}\right), A^{\dagger} = A, B^{\dagger} = B\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2, 3, 4
1Operationoperator: 6
operands: 5
2Operationoperator: 6
operands: 7
3Operationoperator: 9
operands: 8
4Operationoperator: 9
operands: 10
5ExprTuple20, 11
6Literal
7ExprTuple21, 11
8ExprTuple12, 20
9Literal
10ExprTuple13, 21
11Operationoperator: 14
operands: 15
12Operationoperator: 17
operand: 20
13Operationoperator: 17
operand: 21
14Literal
15ExprTuple19, 19
16ExprTuple20
17Literal
18ExprTuple21
19Variable
20Variable
21Variable