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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, c, d, k, m
from proveit.core_expr_types import b_1_to_n
from proveit.numbers import Add, DecimalSequence, one
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)
sub_expr3 = ExprRange(sub_expr1, IndexedVar(d, sub_expr1), one, k)
expr = ExprTuple(DecimalSequence(sub_expr2, Add(b_1_to_n), sub_expr3), DecimalSequence(sub_expr2, c, sub_expr3))
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} ~ \left(b_{1} +  b_{2} +  \ldots +  b_{n}\right) ~ d_{1}, d_{2}, \ldots, d_{k}), \texttt{\#}(a_{1}, a_{2}, \ldots, a_{m} ~ c ~ d_{1}, d_{2}, \ldots, d_{k})\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple7, 6, 9
4Literal
5ExprTuple7, 8, 9
6Operationoperator: 10
operands: 11
7ExprRangelambda_map: 12
start_index: 20
end_index: 13
8Variable
9ExprRangelambda_map: 14
start_index: 20
end_index: 15
10Literal
11ExprTuple16
12Lambdaparameter: 27
body: 17
13Variable
14Lambdaparameter: 27
body: 18
15Variable
16ExprRangelambda_map: 19
start_index: 20
end_index: 21
17IndexedVarvariable: 22
index: 27
18IndexedVarvariable: 23
index: 27
19Lambdaparameter: 27
body: 24
20Literal
21Variable
22Variable
23Variable
24IndexedVarvariable: 25
index: 27
25Variable
26ExprTuple27
27Variable