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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, fi, gamma, x, y, z
from proveit.linear_algebra import ScalarMult, TensorProd
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(ScalarMult(gamma, TensorProd(x, TensorProd(y, fi), z)), ScalarMult(gamma, TensorProd(x, y, fi, z)))
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(\gamma \cdot \left(x {\otimes} \left(y {\otimes} f\left(i\right)\right) {\otimes} z\right), \gamma \cdot \left(x {\otimes} y {\otimes} f\left(i\right) {\otimes} z\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
3ExprTuple7, 6
4Literal
5ExprTuple7, 8
6Operationoperator: 14
operands: 9
7Variable
8Operationoperator: 14
operands: 10
9ExprTuple12, 11, 13
10ExprTuple12, 16, 17, 13
11Operationoperator: 14
operands: 15
12Variable
13Variable
14Literal
15ExprTuple16, 17
16Variable
17Operationoperator: 18
operand: 20
18Variable
19ExprTuple20
20Variable