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Expression of type Mult

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, l
from proveit.numbers import Add, Integer, Mult, Sum, one
In [2]:
# build up the expression from sub-expressions
expr = Mult(Mult(a, b), Sum(index_or_indices = [l], summand = Add(l, one), domain = Integer))
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(a \cdot b\right) \cdot \left[\sum_{l \in \mathbb{Z}}~\left(l + 1\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: 4
operands: 1
1ExprTuple2, 3
2Operationoperator: 4
operands: 5
3Operationoperator: 6
operand: 10
4Literal
5ExprTuple8, 9
6Literal
7ExprTuple10
8Variable
9Variable
10Lambdaparameter: 20
body: 12
11ExprTuple20
12Conditionalvalue: 13
condition: 14
13Operationoperator: 15
operands: 16
14Operationoperator: 17
operands: 18
15Literal
16ExprTuple20, 19
17Literal
18ExprTuple20, 21
19Literal
20Variable
21Literal