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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, Function, V, s
from proveit.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k, f__b_1_to_j
from proveit.linear_algebra import ScalarMult, TensorProd
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(TensorProd(a_1_to_i, ScalarMult(Function(s, [b_1_to_j]), f__b_1_to_j), c_1_to_k), V)
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} \left(s\left(b_{1}, b_{2}, \ldots, b_{j}\right) \cdot f\left(b_{1}, b_{2}, \ldots, b_{j}\right)\right){\otimes} c_{1} {\otimes}  c_{2} {\otimes}  \ldots {\otimes}  c_{k}, V\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: 3
operands: 4
2Variable
3Literal
4ExprTuple5, 6, 7
5ExprRangelambda_map: 8
start_index: 25
end_index: 9
6Operationoperator: 10
operands: 11
7ExprRangelambda_map: 12
start_index: 25
end_index: 13
8Lambdaparameter: 30
body: 14
9Variable
10Literal
11ExprTuple15, 16
12Lambdaparameter: 30
body: 17
13Variable
14IndexedVarvariable: 18
index: 30
15Operationoperator: 19
operands: 21
16Operationoperator: 20
operands: 21
17IndexedVarvariable: 22
index: 30
18Variable
19Variable
20Variable
21ExprTuple23
22Variable
23ExprRangelambda_map: 24
start_index: 25
end_index: 26
24Lambdaparameter: 30
body: 27
25Literal
26Variable
27IndexedVarvariable: 28
index: 30
28Variable
29ExprTuple30
30Variable