logo

Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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 ExprTuple, b, e
from proveit.core_expr_types import a_1_to_i, c_1_to_k, d_1_to_i, f_1_to_k
from proveit.linear_algebra import TensorProd
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(TensorProd(a_1_to_i, b, c_1_to_k), TensorProd(d_1_to_i, e, f_1_to_k))
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} {\otimes}  a_{2} {\otimes}  \ldots {\otimes}  a_{i} {\otimes} b{\otimes} c_{1} {\otimes}  c_{2} {\otimes}  \ldots {\otimes}  c_{k}, d_{1} {\otimes}  d_{2} {\otimes}  \ldots {\otimes}  d_{i} {\otimes} e{\otimes} f_{1} {\otimes}  f_{2} {\otimes}  \ldots {\otimes}  f_{k}\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, 8
4Literal
5ExprTuple9, 10, 11
6ExprRangelambda_map: 12
start_index: 17
end_index: 15
7Variable
8ExprRangelambda_map: 13
start_index: 17
end_index: 18
9ExprRangelambda_map: 14
start_index: 17
end_index: 15
10Variable
11ExprRangelambda_map: 16
start_index: 17
end_index: 18
12Lambdaparameter: 28
body: 19
13Lambdaparameter: 28
body: 20
14Lambdaparameter: 28
body: 21
15Variable
16Lambdaparameter: 28
body: 22
17Literal
18Variable
19IndexedVarvariable: 23
index: 28
20IndexedVarvariable: 24
index: 28
21IndexedVarvariable: 25
index: 28
22IndexedVarvariable: 26
index: 28
23Variable
24Variable
25Variable
26Variable
27ExprTuple28
28Variable