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Expression of type ExprTuple

from the theory of proveit.numbers.division

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
from proveit.numbers import Exp, Mult, Neg, four, frac, one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(four, three)
sub_expr2 = frac(three, two)
sub_expr3 = Exp(c, Neg(one))
expr = ExprTuple(Mult(Mult(sub_expr1, a, b), Mult(sub_expr2, sub_expr3)), Mult(sub_expr1, a, b, sub_expr2, sub_expr3))
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(\left(\frac{4}{3} \cdot a \cdot b\right) \cdot \left(\frac{3}{2} \cdot c^{-1}\right), \frac{4}{3} \cdot a \cdot b \cdot \frac{3}{2} \cdot c^{-1}\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: 8
operands: 3
2Operationoperator: 8
operands: 4
3ExprTuple5, 6
4ExprTuple10, 11, 12, 13, 14
5Operationoperator: 8
operands: 7
6Operationoperator: 8
operands: 9
7ExprTuple10, 11, 12
8Literal
9ExprTuple13, 14
10Operationoperator: 16
operands: 15
11Variable
12Variable
13Operationoperator: 16
operands: 17
14Operationoperator: 18
operands: 19
15ExprTuple20, 21
16Literal
17ExprTuple21, 22
18Literal
19ExprTuple23, 24
20Literal
21Literal
22Literal
23Variable
24Operationoperator: 25
operand: 27
25Literal
26ExprTuple27
27Literal