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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, j, k
from proveit.numbers import Exp, Mult, i
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Mult(Exp(a, Mult(i, j)), Exp(b, Mult(j, k))), Exp(Mult(Exp(a, i), Exp(b, k)), j))
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(a^{\mathsf{i} \cdot j} \cdot b^{j \cdot k}, \left(a^{\mathsf{i}} \cdot b^{k}\right)^{j}\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: 16
operands: 3
2Operationoperator: 19
operands: 4
3ExprTuple5, 6
4ExprTuple7, 21
5Operationoperator: 19
operands: 8
6Operationoperator: 19
operands: 9
7Operationoperator: 16
operands: 10
8ExprTuple22, 11
9ExprTuple24, 12
10ExprTuple13, 14
11Operationoperator: 16
operands: 15
12Operationoperator: 16
operands: 17
13Operationoperator: 19
operands: 18
14Operationoperator: 19
operands: 20
15ExprTuple23, 21
16Literal
17ExprTuple21, 25
18ExprTuple22, 23
19Literal
20ExprTuple24, 25
21Variable
22Variable
23Literal
24Variable
25Variable