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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, X, Y
from proveit.linear_algebra import Hspace, LinMap
from proveit.logic import InSet
from proveit.physics.quantum import Qmult
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(Qmult(A), LinMap(X, Y)), InSet(Qmult(B), LinMap(Hspace, X)))
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(\left[A\right] \in \mathcal{L}\left(X, Y\right), \left[B\right] \in \mathcal{L}\left(\mathcal{H}, X\right)\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
1Operationoperator: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple8, 9
6Operationoperator: 12
operand: 16
7Operationoperator: 14
operands: 11
8Operationoperator: 12
operand: 18
9Operationoperator: 14
operands: 15
10ExprTuple16
11ExprTuple20, 17
12Literal
13ExprTuple18
14Literal
15ExprTuple19, 20
16Variable
17Variable
18Variable
19Variable
20Variable