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Expression of type ExprRange

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, ExprRange, IndexedVar, Variable, i
from proveit.core_expr_types import A_1_to_m, C_1_to_n
from proveit.numbers import one
from proveit.physics.quantum import Qmult
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
expr = ExprRange(sub_expr1, Qmult(A_1_to_m, IndexedVar(B, sub_expr1), C_1_to_n), one, i)
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_{1} \thinspace  A_{2} \thinspace  \ldots \thinspace  A_{m} \thinspace B_{1}\thinspace C_{1} \thinspace  C_{2} \thinspace  \ldots \thinspace  C_{n}\right), \left(A_{1} \thinspace  A_{2} \thinspace  \ldots \thinspace  A_{m} \thinspace B_{2}\thinspace C_{1} \thinspace  C_{2} \thinspace  \ldots \thinspace  C_{n}\right), \ldots, \left(A_{1} \thinspace  A_{2} \thinspace  \ldots \thinspace  A_{m} \thinspace B_{i}\thinspace C_{1} \thinspace  C_{2} \thinspace  \ldots \thinspace  C_{n}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
parameterization'implicit' (default for LaTeX formatting) hides the parameter the ExprRange so the parameterization may be ambiguous (e.g., x_{1+1}, ..., x_{n+1}); 'explicit' (default for string formatting) reveals the parameterization (e.g. x_{1+1}, ..x_{k+1}.., x_{n+1}).NoneNone/False('with_explicit_parameterization', 'with_implicit_parameterization', 'with_default_parameterization_style')
front_expansionThe number of instances to display at the front of the range (e.g., before the ellipsis). Default is 2.22('with_front_expansion', 'get_front_expansion')
back_expansionThe number of instances to display at the back of the range (e.g., after the ellipsis). Default is 1.11('with_back_expansion', 'get_back_expansion')
orderThe default order is 'increasing' (a_1 ... a_3) but to represent a 'decreasing' ExprRange (a_6 ... a_2) the order must be set to 'decreasing'increasingincreasing('with_decreasing_order', 'with_increasing_order')
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
case_simplifyIf 'True', simplify formatted instances that are ConditionalSets under proper index assumptionsFalseFalse('with_case_simplification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprRangelambda_map: 1
start_index: 14
end_index: 2
1Lambdaparameter: 17
body: 3
2Variable
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 7, 8
6ExprRangelambda_map: 9
start_index: 14
end_index: 10
7IndexedVarvariable: 11
index: 17
8ExprRangelambda_map: 13
start_index: 14
end_index: 15
9Lambdaparameter: 22
body: 16
10Variable
11Variable
12ExprTuple17
13Lambdaparameter: 22
body: 18
14Literal
15Variable
16IndexedVarvariable: 19
index: 22
17Variable
18IndexedVarvariable: 20
index: 22
19Variable
20Variable
21ExprTuple22
22Variable