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Expression of type ExprTuple

from the theory of proveit.numbers.addition

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, n
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Add, frac, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Add(ExprRange(sub_expr1, frac(IndexedVar(a, sub_expr1), d), one, n)), frac(Add(a_1_to_n), d))
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(\frac{a_{1}}{d} +  \frac{a_{2}}{d} +  \ldots +  \frac{a_{n}}{d}, \frac{a_{1} +  a_{2} +  \ldots +  a_{n}}{d}\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: 8
operands: 3
2Operationoperator: 12
operands: 4
3ExprTuple5
4ExprTuple6, 17
5ExprRangelambda_map: 7
start_index: 15
end_index: 16
6Operationoperator: 8
operands: 9
7Lambdaparameter: 21
body: 10
8Literal
9ExprTuple11
10Operationoperator: 12
operands: 13
11ExprRangelambda_map: 14
start_index: 15
end_index: 16
12Literal
13ExprTuple18, 17
14Lambdaparameter: 21
body: 18
15Literal
16Variable
17Variable
18IndexedVarvariable: 19
index: 21
19Variable
20ExprTuple21
21Variable