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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 ExprRange, ExprTuple, IndexedVar, Variable, a, n
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Mult, one, sqrt
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(sqrt(Mult(a_1_to_n)), Mult(ExprRange(sub_expr1, sqrt(IndexedVar(a, sub_expr1)), one, n)))
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(\sqrt{\left(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{n}\right)}, \sqrt{\left(a_{1}\right)} \cdot  \sqrt{\left(a_{2}\right)} \cdot  \ldots \cdot  \sqrt{\left(a_{n}\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: 14
operands: 3
2Operationoperator: 7
operands: 4
3ExprTuple5, 17
4ExprTuple6
5Operationoperator: 7
operands: 8
6ExprRangelambda_map: 9
start_index: 23
end_index: 13
7Literal
8ExprTuple10
9Lambdaparameter: 22
body: 11
10ExprRangelambda_map: 12
start_index: 23
end_index: 13
11Operationoperator: 14
operands: 15
12Lambdaparameter: 22
body: 16
13Variable
14Literal
15ExprTuple16, 17
16IndexedVarvariable: 18
index: 22
17Operationoperator: 20
operands: 21
18Variable
19ExprTuple22
20Literal
21ExprTuple23, 24
22Variable
23Literal
24Literal