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Expression of type VecAdd

from the theory of proveit.linear_algebra.addition

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 Function, k, t, v, vk
from proveit.linear_algebra import VecAdd, VecSum
from proveit.numbers import Exp, Interval, one, subtract, two, zero
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(two, t)
expr = VecAdd(VecSum(index_or_indices = [k], summand = vk, domain = Interval(zero, subtract(sub_expr1, one))), Function(v, [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(\sum_{k=0}^{2^{t} - 1} v\left(k\right)\right) + v\left(2^{t}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()()('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3Operationoperator: 5
operand: 8
4Operationoperator: 12
operand: 24
5Literal
6ExprTuple8
7ExprTuple24
8Lambdaparameter: 16
body: 9
9Conditionalvalue: 10
condition: 11
10Operationoperator: 12
operand: 16
11Operationoperator: 14
operands: 15
12Variable
13ExprTuple16
14Literal
15ExprTuple16, 17
16Variable
17Operationoperator: 18
operands: 19
18Literal
19ExprTuple20, 21
20Literal
21Operationoperator: 22
operands: 23
22Literal
23ExprTuple24, 25
24Operationoperator: 26
operands: 27
25Operationoperator: 28
operand: 32
26Literal
27ExprTuple30, 31
28Literal
29ExprTuple32
30Literal
31Variable
32Literal