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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, i, x, y
from proveit.linear_algebra import ScalarMult, VecSum
from proveit.numbers import Add, Interval, Mult, four, one, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(x, VecSum(index_or_indices = [i], summand = ScalarMult(Mult(i, Add(i, one)), y), domain = Interval(two, four)))
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, \sum_{i=2}^{4} \left(\left(i \cdot \left(i + 1\right)\right) \cdot y\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
1Variable
2Operationoperator: 3
operand: 5
3Literal
4ExprTuple5
5Lambdaparameter: 26
body: 7
6ExprTuple26
7Conditionalvalue: 8
condition: 9
8Operationoperator: 10
operands: 11
9Operationoperator: 12
operands: 13
10Literal
11ExprTuple14, 15
12Literal
13ExprTuple26, 16
14Operationoperator: 17
operands: 18
15Variable
16Operationoperator: 19
operands: 20
17Literal
18ExprTuple26, 21
19Literal
20ExprTuple22, 23
21Operationoperator: 24
operands: 25
22Literal
23Literal
24Literal
25ExprTuple26, 27
26Variable
27Literal