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Expression of type ExprTuple

from the theory of proveit.linear_algebra.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 Conditional, ExprTuple, Function, Lambda, i, v
from proveit.logic import InSet
from proveit.numbers import Interval, nine, one, subtract, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(i, Conditional(Function(v, [subtract(i, one)]), InSet(i, Interval(two, nine)))))
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(i \mapsto \left\{v\left(i - 1\right) \textrm{ if } i \in \{2~\ldotp \ldotp~9\}\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameter: 16
body: 3
2ExprTuple16
3Conditionalvalue: 4
condition: 5
4Operationoperator: 6
operand: 10
5Operationoperator: 8
operands: 9
6Variable
7ExprTuple10
8Literal
9ExprTuple16, 11
10Operationoperator: 12
operands: 13
11Operationoperator: 14
operands: 15
12Literal
13ExprTuple16, 17
14Literal
15ExprTuple18, 19
16Variable
17Operationoperator: 20
operand: 22
18Literal
19Literal
20Literal
21ExprTuple22
22Literal