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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, beta, fi, gamma, i, x, y
from proveit.linear_algebra import ScalarMult, VecSum
from proveit.numbers import Interval, four, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(x, VecSum(index_or_indices = [i], summand = ScalarMult(ScalarMult(gamma, beta), fi), domain = Interval(two, four)), y)
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(\gamma \cdot \beta\right) \cdot f\left(i\right)\right), y\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, 3
1Variable
2Operationoperator: 4
operand: 6
3Variable
4Literal
5ExprTuple6
6Lambdaparameter: 24
body: 7
7Conditionalvalue: 8
condition: 9
8Operationoperator: 16
operands: 10
9Operationoperator: 11
operands: 12
10ExprTuple13, 14
11Literal
12ExprTuple24, 15
13Operationoperator: 16
operands: 17
14Operationoperator: 18
operand: 24
15Operationoperator: 20
operands: 21
16Literal
17ExprTuple22, 23
18Variable
19ExprTuple24
20Literal
21ExprTuple25, 26
22Variable
23Variable
24Variable
25Literal
26Literal