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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, x, y
from proveit.numbers import Mult, subtract
In [2]:
# build up the expression from sub-expressions
expr = Mult(a, subtract(Mult(d, x, b, c), Mult(d, y, 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())
a \cdot \left(\left(d \cdot x \cdot b \cdot c\right) - \left(d \cdot y \cdot b \cdot c\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: 13
operands: 1
1ExprTuple2, 3
2Variable
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 7
6Operationoperator: 13
operands: 8
7Operationoperator: 9
operand: 12
8ExprTuple15, 11, 17, 18
9Literal
10ExprTuple12
11Variable
12Operationoperator: 13
operands: 14
13Literal
14ExprTuple15, 16, 17, 18
15Variable
16Variable
17Variable
18Variable