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Expression of type ExprTuple

from the theory of proveit.numbers.numerals.decimals

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, b, k, m
from proveit.numbers import Add, DecimalSequence, nine, one, zero
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, m)
expr = ExprTuple(Add(DecimalSequence(sub_expr2, b, ExprRange(sub_expr1, nine, one, k)), one), DecimalSequence(sub_expr2, Add(b, one), ExprRange(sub_expr1, zero, one, k)))
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(\texttt{\#}(a_{1}, a_{2}, \ldots, a_{m} ~ b ~ 9, 9, ..\left(k - 3\right) \times.., 9) + 1, \texttt{\#}(a_{1}, a_{2}, \ldots, a_{m} ~ \left(b + 1\right) ~ 0, 0, ..\left(k - 3\right) \times.., 0)\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: 10
operands: 3
2Operationoperator: 8
operands: 4
3ExprTuple5, 20
4ExprTuple13, 6, 7
5Operationoperator: 8
operands: 9
6Operationoperator: 10
operands: 11
7ExprRangelambda_map: 12
start_index: 20
end_index: 21
8Literal
9ExprTuple13, 15, 14
10Literal
11ExprTuple15, 20
12Lambdaparameter: 26
body: 16
13ExprRangelambda_map: 17
start_index: 20
end_index: 18
14ExprRangelambda_map: 19
start_index: 20
end_index: 21
15Variable
16Literal
17Lambdaparameter: 26
body: 22
18Variable
19Lambdaparameter: 26
body: 23
20Literal
21Variable
22IndexedVarvariable: 24
index: 26
23Literal
24Variable
25ExprTuple26
26Variable