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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, b, fa, fx, x
from proveit.numbers import Add, Interval, Sum, one
In [2]:
# build up the expression from sub-expressions
expr = Add(fa, Sum(index_or_indices = [x], summand = fx, domain = Interval(Add(a, one), b)))
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())
f\left(a\right) + \left(\sum_{x = a + 1}^{b} f\left(x\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: 21
operands: 1
1ExprTuple2, 3
2Operationoperator: 11
operand: 23
3Operationoperator: 5
operand: 7
4ExprTuple23
5Literal
6ExprTuple7
7Lambdaparameter: 15
body: 8
8Conditionalvalue: 9
condition: 10
9Operationoperator: 11
operand: 15
10Operationoperator: 13
operands: 14
11Variable
12ExprTuple15
13Literal
14ExprTuple15, 16
15Variable
16Operationoperator: 17
operands: 18
17Literal
18ExprTuple19, 20
19Operationoperator: 21
operands: 22
20Variable
21Literal
22ExprTuple23, 24
23Variable
24Literal