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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 B, D, ExprTuple, alpha, beta
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, QmultCodomain, ket_psi, ket_varphi
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Qmult(Qmult(alpha, D, beta), VecAdd(Qmult(B, ket_psi), ket_varphi)), QmultCodomain)
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(\alpha \thinspace D \thinspace \beta\right) \thinspace \left(\left(B \thinspace \lvert \psi \rangle\right) + \lvert \varphi \rangle\right), \mathcal{Q^*}\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: 14
operands: 3
2Literal
3ExprTuple4, 5
4Operationoperator: 14
operands: 6
5Operationoperator: 7
operands: 8
6ExprTuple9, 10, 11
7Literal
8ExprTuple12, 13
9Variable
10Variable
11Variable
12Operationoperator: 14
operands: 15
13Operationoperator: 20
operand: 19
14Literal
15ExprTuple17, 18
16ExprTuple19
17Variable
18Operationoperator: 20
operand: 22
19Variable
20Literal
21ExprTuple22
22Variable