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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, ExprTuple, alpha, beta, delta, gamma
from proveit.numbers import Mult
from proveit.physics.quantum import Qmult, bra_varphi, ket_psi
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Qmult(bra_varphi, alpha, A, beta, ket_psi, gamma, bra_varphi, delta), Qmult(Mult(alpha, beta, gamma, delta), bra_varphi, A, ket_psi, bra_varphi))
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(\langle \varphi \rvert \thinspace \alpha \thinspace A \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta, \left(\alpha \cdot \beta \cdot \gamma \cdot \delta\right) \thinspace \langle \varphi \rvert \thinspace A \thinspace \lvert \psi \rangle \thinspace \langle \varphi \rvert\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
3ExprTuple9, 16, 7, 17, 8, 18, 9, 19
4Literal
5ExprTuple6, 9, 7, 8, 9
6Operationoperator: 10
operands: 11
7Variable
8Operationoperator: 12
operand: 20
9Operationoperator: 14
operand: 21
10Literal
11ExprTuple16, 17, 18, 19
12Literal
13ExprTuple20
14Literal
15ExprTuple21
16Variable
17Variable
18Variable
19Variable
20Variable
21Variable