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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 Conditional, ExprTuple, Lambda, c, l
from proveit.logic import InSet
from proveit.numbers import Add, Integer, Mult, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Add(l, one)
sub_expr2 = InSet(l, Integer)
expr = ExprTuple(Lambda(l, Conditional(Mult(c, sub_expr1), sub_expr2)), Lambda(l, Conditional(Mult(sub_expr1, c), sub_expr2)))
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(l \mapsto \left\{c \cdot \left(l + 1\right) \textrm{ if } l \in \mathbb{Z}\right.., l \mapsto \left\{\left(l + 1\right) \cdot c \textrm{ if } l \in \mathbb{Z}\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
1Lambdaparameter: 19
body: 3
2Lambdaparameter: 19
body: 5
3Conditionalvalue: 6
condition: 8
4ExprTuple19
5Conditionalvalue: 7
condition: 8
6Operationoperator: 10
operands: 9
7Operationoperator: 10
operands: 11
8Operationoperator: 12
operands: 13
9ExprTuple15, 14
10Literal
11ExprTuple14, 15
12Literal
13ExprTuple19, 16
14Operationoperator: 17
operands: 18
15Variable
16Literal
17Literal
18ExprTuple19, 20
19Variable
20Literal