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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 ExprTuple, x, y
from proveit.numbers import Add, Ceil, Neg, subtract, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Ceil(Add(subtract(x, y), two)), Add(Ceil(x), Add(Neg(y), 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(\left\lceil \left(x - y\right) + 2\right\rceil, \left\lceil x\right\rceil + \left(-y + 2\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
1Operationoperator: 9
operand: 5
2Operationoperator: 14
operands: 4
3ExprTuple5
4ExprTuple6, 7
5Operationoperator: 14
operands: 8
6Operationoperator: 9
operand: 16
7Operationoperator: 14
operands: 11
8ExprTuple12, 13
9Literal
10ExprTuple16
11ExprTuple17, 13
12Operationoperator: 14
operands: 15
13Literal
14Literal
15ExprTuple16, 17
16Variable
17Operationoperator: 18
operand: 20
18Literal
19ExprTuple20
20Variable