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Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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 ExprRange, ExprTuple, IndexedVar, Variable, x
from proveit.linear_algebra import TensorProd
from proveit.numbers import one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(TensorProd(ExprRange(sub_expr1, IndexedVar(x, sub_expr1), one, three)), TensorProd(IndexedVar(x, one), IndexedVar(x, two), IndexedVar(x, three)))
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_{1} {\otimes}  x_{2} {\otimes}  \ldots {\otimes}  x_{3}, x_{1} {\otimes} x_{2} {\otimes} x_{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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6
4Literal
5ExprTuple7, 8, 9
6ExprRangelambda_map: 10
start_index: 15
end_index: 17
7IndexedVarvariable: 18
index: 15
8IndexedVarvariable: 18
index: 16
9IndexedVarvariable: 18
index: 17
10Lambdaparameter: 20
body: 14
11ExprTuple15
12ExprTuple16
13ExprTuple17
14IndexedVarvariable: 18
index: 20
15Literal
16Literal
17Literal
18Variable
19ExprTuple20
20Variable