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Expression of type ExprTuple

from the theory of proveit.numbers.exponentiation

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, b, m
from proveit.logic import InSet, NotEquals
from proveit.numbers import Complex, Real, one, zero
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(InSet(a, Complex), ExprRange(sub_expr1, InSet(IndexedVar(b, sub_expr1), Real), one, m), NotEquals(a, 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 \in \mathbb{C},\left(b_{1} \in \mathbb{R}\right), \left(b_{2} \in \mathbb{R}\right), \ldots, \left(b_{m} \in \mathbb{R}\right), a \neq 0\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
1Operationoperator: 14
operands: 4
2ExprRangelambda_map: 5
start_index: 6
end_index: 7
3Operationoperator: 8
operands: 9
4ExprTuple12, 10
5Lambdaparameter: 20
body: 11
6Literal
7Variable
8Literal
9ExprTuple12, 13
10Literal
11Operationoperator: 14
operands: 15
12Variable
13Literal
14Literal
15ExprTuple16, 17
16IndexedVarvariable: 18
index: 20
17Literal
18Variable
19ExprTuple20
20Variable