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Expression of type Mult

from the theory of proveit.numbers.multiplication

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, d
from proveit.numbers import Exp, Mult, Neg, four, frac, one, sqrt, three, two
In [2]:
# build up the expression from sub-expressions
expr = Mult(Mult(frac(four, three), Exp(d, two), b, a, c), Exp(sqrt(b), Neg(one)))
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(\frac{4}{3} \cdot d^{2} \cdot b \cdot a \cdot c\right) \cdot (\sqrt{b})^{-1}
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: 15
operands: 6
4Literal
5ExprTuple7, 8, 22, 9, 10
6ExprTuple11, 12
7Operationoperator: 24
operands: 13
8Operationoperator: 15
operands: 14
9Variable
10Variable
11Operationoperator: 15
operands: 16
12Operationoperator: 17
operand: 26
13ExprTuple19, 20
14ExprTuple21, 27
15Literal
16ExprTuple22, 23
17Literal
18ExprTuple26
19Literal
20Literal
21Variable
22Variable
23Operationoperator: 24
operands: 25
24Literal
25ExprTuple26, 27
26Literal
27Literal