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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 ExprRange, ExprTuple, Function, IndexedVar, Variable, alpha, beta, c, delta, f, gamma, j
from proveit.numbers import one
from proveit.physics.quantum import bra_varphi, ket_psi
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(bra_varphi, alpha, Function(f, [ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, j)]), beta, ket_psi, gamma, bra_varphi, delta)
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, \alpha, f\left(c_{1}, c_{2}, \ldots, c_{j}\right), \beta, \lvert \psi \rangle, \gamma, \langle \varphi \rvert, \delta\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
0ExprTuple6, 1, 2, 3, 4, 5, 6, 7
1Variable
2Operationoperator: 8
operands: 9
3Variable
4Operationoperator: 10
operand: 15
5Variable
6Operationoperator: 12
operand: 16
7Variable
8Variable
9ExprTuple14
10Literal
11ExprTuple15
12Literal
13ExprTuple16
14ExprRangelambda_map: 17
start_index: 18
end_index: 19
15Variable
16Variable
17Lambdaparameter: 23
body: 20
18Literal
19Variable
20IndexedVarvariable: 21
index: 23
21Variable
22ExprTuple23
23Variable