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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, d, k, m
from proveit.core_expr_types import b_1_to_n
from proveit.numbers import Add, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(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())
\left(a_{1}, a_{2}, \ldots, a_{m}, b_{1} +  b_{2} +  \ldots +  b_{n},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, 3
1ExprRangelambda_map: 4
start_index: 15
end_index: 5
2Operationoperator: 6
operands: 7
3ExprRangelambda_map: 8
start_index: 15
end_index: 9
4Lambdaparameter: 21
body: 10
5Variable
6Literal
7ExprTuple11
8Lambdaparameter: 21
body: 12
9Variable
10IndexedVarvariable: 13
index: 21
11ExprRangelambda_map: 14
start_index: 15
end_index: 16
12IndexedVarvariable: 17
index: 21
13Variable
14Lambdaparameter: 21
body: 18
15Literal
16Variable
17Variable
18IndexedVarvariable: 19
index: 21
19Variable
20ExprTuple21
21Variable