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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 Conditional, ExprTuple, fi, i, x, y, z
from proveit.linear_algebra import TensorProd
from proveit.logic import InSet
from proveit.numbers import Interval, four, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = TensorProd(x, y, fi, z)
expr = ExprTuple(Conditional(sub_expr1, InSet(i, Interval(two, four))), 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(x {\otimes} y {\otimes} f\left(i\right) {\otimes} z \textrm{ if } i \in \{2~\ldotp \ldotp~4\}, x {\otimes} y {\otimes} f\left(i\right) {\otimes} z\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
1Conditionalvalue: 2
condition: 3
2Operationoperator: 4
operands: 5
3Operationoperator: 6
operands: 7
4Literal
5ExprTuple8, 9, 10, 11
6Literal
7ExprTuple17, 12
8Variable
9Variable
10Operationoperator: 13
operand: 17
11Variable
12Operationoperator: 15
operands: 16
13Variable
14ExprTuple17
15Literal
16ExprTuple18, 19
17Variable
18Literal
19Literal