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Expression of type Add

from the theory of proveit.numbers.summation

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, k
from proveit.numbers import Add, Interval, Sum, eight, seven, subtract, two
In [2]:
# build up the expression from sub-expressions
expr = Add(Sum(index_or_indices = [k], summand = subtract(k, two), domain = Interval(a, eight)), seven)
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 = a}^{8} \left(k - 2\right)\right) + 7
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: 11
operands: 1
1ExprTuple2, 3
2Operationoperator: 4
operand: 6
3Literal
4Literal
5ExprTuple6
6Lambdaparameter: 16
body: 8
7ExprTuple16
8Conditionalvalue: 9
condition: 10
9Operationoperator: 11
operands: 12
10Operationoperator: 13
operands: 14
11Literal
12ExprTuple16, 15
13Literal
14ExprTuple16, 17
15Operationoperator: 18
operand: 22
16Variable
17Operationoperator: 20
operands: 21
18Literal
19ExprTuple22
20Literal
21ExprTuple23, 24
22Literal
23Variable
24Literal