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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 a, b, c, i, vi
from proveit.linear_algebra import VecAdd, VecSum
from proveit.numbers import Interval, one, subtract
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [i]
expr = VecAdd(VecSum(index_or_indices = sub_expr1, summand = vi, domain = Interval(a, subtract(b, one))), VecSum(index_or_indices = sub_expr1, summand = vi, domain = Interval(b, c)))
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_{i=a}^{b - 1} v\left(i\right)\right) + \left(\sum_{i=b}^{c} v\left(i\right)\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: 6
operand: 8
4Operationoperator: 6
operand: 9
5ExprTuple8
6Literal
7ExprTuple9
8Lambdaparameter: 21
body: 10
9Lambdaparameter: 21
body: 11
10Conditionalvalue: 13
condition: 12
11Conditionalvalue: 13
condition: 14
12Operationoperator: 18
operands: 15
13Operationoperator: 16
operand: 21
14Operationoperator: 18
operands: 19
15ExprTuple21, 20
16Variable
17ExprTuple21
18Literal
19ExprTuple21, 22
20Operationoperator: 24
operands: 23
21Variable
22Operationoperator: 24
operands: 25
23ExprTuple26, 27
24Literal
25ExprTuple31, 28
26Variable
27Operationoperator: 29
operands: 30
28Variable
29Literal
30ExprTuple31, 32
31Variable
32Operationoperator: 33
operand: 35
33Literal
34ExprTuple35
35Literal