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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, w, x, y, z
from proveit.numbers import Add, Mult
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Add(Mult(z, w), Mult(y, z))
expr = ExprTuple(Mult(x, y, sub_expr1, w), Mult(Mult(x, y), sub_expr1, w))
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(x \cdot y \cdot \left(\left(z \cdot w\right) + \left(y \cdot z\right)\right) \cdot w, \left(x \cdot y\right) \cdot \left(\left(z \cdot w\right) + \left(y \cdot z\right)\right) \cdot w\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: 14
operands: 3
2Operationoperator: 14
operands: 4
3ExprTuple10, 17, 6, 16
4ExprTuple5, 6, 16
5Operationoperator: 14
operands: 7
6Operationoperator: 8
operands: 9
7ExprTuple10, 17
8Literal
9ExprTuple11, 12
10Variable
11Operationoperator: 14
operands: 13
12Operationoperator: 14
operands: 15
13ExprTuple18, 16
14Literal
15ExprTuple17, 18
16Variable
17Variable
18Variable