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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
from proveit.logic import CartExp
from proveit.numbers import Real, three
In [2]:
# build up the expression from sub-expressions
sub_expr1 = CartExp(Real, three)
expr = ExprTuple(TensorProd(TensorProd(x, y), VecAdd(z, w, v)), TensorProd(sub_expr1, sub_expr1, sub_expr1))
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\right) {\otimes} \left(z + w + v\right), \mathbb{R}^{3} {\otimes} \mathbb{R}^{3} {\otimes} \mathbb{R}^{3}\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: 8
operands: 3
2Operationoperator: 8
operands: 4
3ExprTuple5, 6
4ExprTuple7, 7, 7
5Operationoperator: 8
operands: 9
6Operationoperator: 10
operands: 11
7Operationoperator: 12
operands: 13
8Literal
9ExprTuple14, 15
10Literal
11ExprTuple16, 17, 18
12Literal
13ExprTuple19, 20
14Variable
15Variable
16Variable
17Variable
18Variable
19Literal
20Literal