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Expression of type ExprTuple

from the theory of proveit.numbers.ordering

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, ConditionalSet, ExprTuple, x, y
from proveit.numbers import Less, LessEq, Min
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Min(x, y), ConditionalSet(Conditional(x, LessEq(x, y)), Conditional(y, Less(y, x))))
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({\rm Min}\left(x, y\right), \left\{\begin{array}{ccc}x \textrm{ if } x \leq y \\ y \textrm{ if } y < x\end{array}\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: 3
operands: 11
2Operationoperator: 4
operands: 5
3Literal
4Literal
5ExprTuple6, 7
6Conditionalvalue: 15
condition: 8
7Conditionalvalue: 14
condition: 9
8Operationoperator: 10
operands: 11
9Operationoperator: 12
operands: 13
10Literal
11ExprTuple15, 14
12Literal
13ExprTuple14, 15
14Variable
15Variable