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Expression of type ExprTuple

from the theory of proveit.numbers.summation

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
from proveit.logic import InSet
from proveit.numbers import Complex, one, zero
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(InSet(IndexedVar(a, one), Complex), ExprRange(sub_expr1, InSet(IndexedVar(c, sub_expr1), Complex), one, zero))
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} \in \mathbb{C},\left(c_{1} \in \mathbb{C}\right), \left(c_{2} \in \mathbb{C}\right), \ldots, \left(c_{0} \in \mathbb{C}\right)\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
2ExprRangelambda_map: 4
start_index: 12
end_index: 5
3ExprTuple6, 14
4Lambdaparameter: 17
body: 7
5Literal
6IndexedVarvariable: 8
index: 12
7Operationoperator: 10
operands: 11
8Variable
9ExprTuple12
10Literal
11ExprTuple13, 14
12Literal
13IndexedVarvariable: 15
index: 17
14Literal
15Variable
16ExprTuple17
17Variable