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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
from proveit.numbers import Add, Exp, Mult, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(a, b)
expr = ExprTuple(Mult(sub_expr1, Exp(a, c), sub_expr1, Exp(a, d), b), Mult(Exp(a, Add(Mult(two, b), c, d)), b))
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^{b} \cdot a^{c} \cdot a^{b} \cdot a^{d} \cdot b, a^{\left(2 \cdot b\right) + c + d} \cdot b\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, 5, 6, 7, 24
4ExprTuple8, 24
5Operationoperator: 12
operands: 9
6Operationoperator: 12
operands: 10
7Operationoperator: 12
operands: 11
8Operationoperator: 12
operands: 13
9ExprTuple14, 19
10ExprTuple14, 24
11ExprTuple14, 20
12Literal
13ExprTuple14, 15
14Variable
15Operationoperator: 16
operands: 17
16Literal
17ExprTuple18, 19, 20
18Operationoperator: 21
operands: 22
19Variable
20Variable
21Literal
22ExprTuple23, 24
23Literal
24Variable