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Expression of type ExprTuple

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 ExprTuple, a, b, c, d, x, y
from proveit.numbers import Mult, subtract
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Mult(a, b, subtract(x, y), d, c), Mult(a, subtract(Mult(b, x, d), Mult(b, y, d)), 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())
\left(a \cdot b \cdot \left(x - y\right) \cdot d \cdot c, a \cdot \left(\left(b \cdot x \cdot d\right) - \left(b \cdot y \cdot d\right)\right) \cdot c\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 21
operands: 3
2Operationoperator: 21
operands: 4
3ExprTuple6, 23, 5, 25, 8
4ExprTuple6, 7, 8
5Operationoperator: 10
operands: 9
6Variable
7Operationoperator: 10
operands: 11
8Variable
9ExprTuple19, 12
10Literal
11ExprTuple13, 14
12Operationoperator: 17
operand: 24
13Operationoperator: 21
operands: 16
14Operationoperator: 17
operand: 20
15ExprTuple24
16ExprTuple23, 19, 25
17Literal
18ExprTuple20
19Variable
20Operationoperator: 21
operands: 22
21Literal
22ExprTuple23, 24, 25
23Variable
24Variable
25Variable