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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
expr = ExprTuple(Mult(x, y, Add(Mult(z, w), Mult(y, z)), w), Mult(Mult(Add(w, y), z), w, x, y))
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(\left(w + y\right) \cdot z\right) \cdot w \cdot x \cdot y\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
3ExprTuple7, 20, 5, 19
4ExprTuple6, 19, 7, 20
5Operationoperator: 16
operands: 8
6Operationoperator: 14
operands: 9
7Variable
8ExprTuple10, 11
9ExprTuple12, 18
10Operationoperator: 14
operands: 13
11Operationoperator: 14
operands: 15
12Operationoperator: 16
operands: 17
13ExprTuple18, 19
14Literal
15ExprTuple20, 18
16Literal
17ExprTuple19, 20
18Variable
19Variable
20Variable