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Expression of type DecimalSequence

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, IndexedVar, Variable, a, 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}")
expr = DecimalSequence(ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, m), Add(b_1_to_n), ExprRange(sub_expr1, IndexedVar(d, sub_expr1), 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())
\texttt{\#}(a_{1}, a_{2}, \ldots, a_{m} ~ \left(b_{1} +  b_{2} +  \ldots +  b_{n}\right) ~ d_{1}, d_{2}, \ldots, d_{k})
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()()('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4, 5
3ExprRangelambda_map: 6
start_index: 17
end_index: 7
4Operationoperator: 8
operands: 9
5ExprRangelambda_map: 10
start_index: 17
end_index: 11
6Lambdaparameter: 23
body: 12
7Variable
8Literal
9ExprTuple13
10Lambdaparameter: 23
body: 14
11Variable
12IndexedVarvariable: 15
index: 23
13ExprRangelambda_map: 16
start_index: 17
end_index: 18
14IndexedVarvariable: 19
index: 23
15Variable
16Lambdaparameter: 23
body: 20
17Literal
18Variable
19Variable
20IndexedVarvariable: 21
index: 23
21Variable
22ExprTuple23
23Variable