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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
from proveit.linear_algebra import TensorProd
from proveit.logic import CartExp
from proveit.numbers import Complex, three
In [2]:
# build up the expression from sub-expressions
sub_expr1 = CartExp(Complex, three)
sub_expr2 = TensorProd(sub_expr1, sub_expr1)
sub_expr3 = TensorProd(sub_expr1, sub_expr2)
expr = ExprTuple(TensorProd(sub_expr3, sub_expr1, sub_expr1), TensorProd(sub_expr3, sub_expr2))
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(\mathbb{C}^{3} {\otimes} \left(\mathbb{C}^{3} {\otimes} \mathbb{C}^{3}\right)\right) {\otimes} \mathbb{C}^{3} {\otimes} \mathbb{C}^{3}, \left(\mathbb{C}^{3} {\otimes} \left(\mathbb{C}^{3} {\otimes} \mathbb{C}^{3}\right)\right) {\otimes} \left(\mathbb{C}^{3} {\otimes} \mathbb{C}^{3}\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: 8
operands: 3
2Operationoperator: 8
operands: 4
3ExprTuple5, 10, 10
4ExprTuple5, 7
5Operationoperator: 8
operands: 6
6ExprTuple10, 7
7Operationoperator: 8
operands: 9
8Literal
9ExprTuple10, 10
10Operationoperator: 11
operands: 12
11Literal
12ExprTuple13, 14
13Literal
14Literal