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Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

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, v, w, x, y, z
from proveit.linear_algebra import TensorProd, VecAdd
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(VecAdd(TensorProd(x, y, z), TensorProd(x, y, w), TensorProd(x, y, v)), VecAdd(TensorProd(x, TensorProd(y, z)), TensorProd(x, TensorProd(y, w)), TensorProd(x, TensorProd(y, 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(\left(x {\otimes} y {\otimes} z\right) + \left(x {\otimes} y {\otimes} w\right) + \left(x {\otimes} y {\otimes} v\right), \left(x {\otimes} \left(y {\otimes} z\right)\right) + \left(x {\otimes} \left(y {\otimes} w\right)\right) + \left(x {\otimes} \left(y {\otimes} v\right)\right)\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
6Operationoperator: 24
operands: 12
7Operationoperator: 24
operands: 13
8Operationoperator: 24
operands: 14
9Operationoperator: 24
operands: 15
10Operationoperator: 24
operands: 16
11Operationoperator: 24
operands: 17
12ExprTuple20, 28, 26
13ExprTuple20, 28, 27
14ExprTuple20, 28, 29
15ExprTuple20, 18
16ExprTuple20, 19
17ExprTuple20, 21
18Operationoperator: 24
operands: 22
19Operationoperator: 24
operands: 23
20Variable
21Operationoperator: 24
operands: 25
22ExprTuple28, 26
23ExprTuple28, 27
24Literal
25ExprTuple28, 29
26Variable
27Variable
28Variable
29Variable