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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 Mult, four, frac, one, three
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(one, three)
expr = ExprTuple(Mult(d, b, four, a, sub_expr1, d, c), Mult(d, d, b, four, a, sub_expr1, 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(d \cdot b \cdot 4 \cdot a \cdot \frac{1}{3} \cdot d \cdot c, d \cdot d \cdot b \cdot 4 \cdot a \cdot \frac{1}{3} \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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7, 8, 9, 10, 6, 11
4Literal
5ExprTuple6, 6, 7, 8, 9, 10, 11
6Variable
7Variable
8Literal
9Variable
10Operationoperator: 12
operands: 13
11Variable
12Literal
13ExprTuple14, 15
14Literal
15Literal