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Expression of type ExprTuple

from the theory of proveit.numbers.integration

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 ExprTuple, S
from proveit.core_expr_types import f__x_1_to_n, x_1_to_n
from proveit.numbers import Integrate, RealPos
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Integrate(index_or_indices = [x_1_to_n], integrand = f__x_1_to_n, domain = S), RealPos)
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(\int_{x_{1}, x_{2}, \ldots, x_{n} \in S}~f\left(x_{1}, x_{2}, \ldots, x_{n}\right), \mathbb{R}^+\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: 3
operand: 5
2Literal
3Literal
4ExprTuple5
5Lambdaparameters: 10
body: 6
6Conditionalvalue: 7
condition: 8
7Operationoperator: 9
operands: 10
8Operationoperator: 11
operands: 12
9Variable
10ExprTuple13
11Literal
12ExprTuple14
13ExprRangelambda_map: 15
start_index: 17
end_index: 18
14ExprRangelambda_map: 16
start_index: 17
end_index: 18
15Lambdaparameter: 26
body: 22
16Lambdaparameter: 26
body: 19
17Literal
18Variable
19Operationoperator: 20
operands: 21
20Literal
21ExprTuple22, 23
22IndexedVarvariable: 24
index: 26
23Variable
24Variable
25ExprTuple26
26Variable