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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 Exp, Mult, four, frac, sqrt, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(d, two)
sub_expr2 = sqrt(b)
expr = ExprTuple(Mult(frac(four, three), a, sub_expr2, sub_expr1, c), Mult(a, sub_expr2, two, sub_expr1, frac(two, three), 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(\frac{4}{3} \cdot a \cdot \sqrt{b} \cdot d^{2} \cdot c, a \cdot \sqrt{b} \cdot 2 \cdot d^{2} \cdot \frac{2}{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, 11
4Literal
5ExprTuple7, 8, 25, 9, 10, 11
6Operationoperator: 22
operands: 12
7Variable
8Operationoperator: 14
operands: 13
9Operationoperator: 14
operands: 15
10Operationoperator: 22
operands: 16
11Variable
12ExprTuple17, 21
13ExprTuple18, 19
14Literal
15ExprTuple20, 25
16ExprTuple25, 21
17Literal
18Variable
19Operationoperator: 22
operands: 23
20Variable
21Literal
22Literal
23ExprTuple24, 25
24Literal
25Literal