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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, d
from proveit.numbers import Add, Exp, Mult, Neg, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Add(a, b, c)
sub_expr2 = Neg(one)
sub_expr3 = Exp(a, sub_expr2)
sub_expr4 = Exp(d, sub_expr2)
expr = ExprTuple(Mult(Mult(sub_expr1, b), sub_expr3, sub_expr4), Mult(sub_expr1, b, sub_expr3, sub_expr4))
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(\left(a + b + c\right) \cdot b\right) \cdot a^{-1} \cdot d^{-1}, \left(a + b + c\right) \cdot b \cdot a^{-1} \cdot d^{-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, 7
4ExprTuple13, 21, 6, 7
5Operationoperator: 8
operands: 9
6Operationoperator: 11
operands: 10
7Operationoperator: 11
operands: 12
8Literal
9ExprTuple13, 21
10ExprTuple20, 15
11Literal
12ExprTuple14, 15
13Operationoperator: 16
operands: 17
14Variable
15Operationoperator: 18
operand: 23
16Literal
17ExprTuple20, 21, 22
18Literal
19ExprTuple23
20Variable
21Variable
22Variable
23Literal