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Expression of type ExprTuple

from the theory of proveit.numbers.rounding

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, x
from proveit.logic import Equals, InSet
from proveit.numbers import Ceil, Floor, Real
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Floor(x)
expr = ExprTuple(Lambda(x, Conditional(Equals(Ceil(sub_expr1), sub_expr1), InSet(x, Real))))
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(x \mapsto \left\{\left\lceil \left\lfloor x\right\rfloor\right\rceil = \left\lfloor x\right\rfloor \textrm{ if } x \in \mathbb{R}\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: 2
2Conditionalvalue: 3
condition: 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Literal
6ExprTuple9, 13
7Literal
8ExprTuple16, 10
9Operationoperator: 11
operand: 13
10Literal
11Literal
12ExprTuple13
13Operationoperator: 14
operand: 16
14Literal
15ExprTuple16
16Variable