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Expression of type Ceil

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 x
from proveit.numbers import Ceil, frac, one, subtract, two
In [2]:
# build up the expression from sub-expressions
expr = Ceil(subtract(x, frac(one, two)))
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\lceil x - \frac{1}{2}\right\rceil
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 7
6Variable
7Operationoperator: 8
operand: 10
8Literal
9ExprTuple10
10Operationoperator: 11
operands: 12
11Literal
12ExprTuple13, 14
13Literal
14Literal