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Expression of type ExprTuple

from the theory of proveit.numbers.exponentiation

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, subtract
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Exp(Mult(a, b), c), Mult(Exp(a, d), Mult(Exp(a, subtract(c, d)), Exp(b, 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(\left(a \cdot b\right)^{c}, a^{d} \cdot \left(a^{c - d} \cdot b^{c}\right)\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: 15
operands: 3
2Operationoperator: 10
operands: 4
3ExprTuple5, 22
4ExprTuple6, 7
5Operationoperator: 10
operands: 8
6Operationoperator: 15
operands: 9
7Operationoperator: 10
operands: 11
8ExprTuple17, 19
9ExprTuple17, 26
10Literal
11ExprTuple12, 13
12Operationoperator: 15
operands: 14
13Operationoperator: 15
operands: 16
14ExprTuple17, 18
15Literal
16ExprTuple19, 22
17Variable
18Operationoperator: 20
operands: 21
19Variable
20Literal
21ExprTuple22, 23
22Variable
23Operationoperator: 24
operand: 26
24Literal
25ExprTuple26
26Variable