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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, Lambda, x, y
from proveit.logic import And, Equals, InSet
from proveit.numbers import Max, Real, greater, greater_eq
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y], Conditional(Equals(Max(x, y), ConditionalSet(Conditional(x, greater_eq(x, y)), Conditional(y, greater(y, x)))), And(InSet(x, Real), InSet(y, 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(\left(x, y\right) \mapsto \left\{{\rm Max}\left(x, y\right) = \left\{\begin{array}{ccc}x \textrm{ if } x \geq y \\ y \textrm{ if } y > x\end{array}\right.. \textrm{ if } x \in \mathbb{R} ,  y \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
1Lambdaparameters: 27
body: 2
2Conditionalvalue: 3
condition: 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Literal
6ExprTuple9, 10
7Literal
8ExprTuple11, 12
9Operationoperator: 13
operands: 27
10Operationoperator: 14
operands: 15
11Operationoperator: 17
operands: 16
12Operationoperator: 17
operands: 18
13Literal
14Literal
15ExprTuple19, 20
16ExprTuple28, 21
17Literal
18ExprTuple29, 21
19Conditionalvalue: 28
condition: 22
20Conditionalvalue: 29
condition: 23
21Literal
22Operationoperator: 24
operands: 25
23Operationoperator: 26
operands: 27
24Literal
25ExprTuple29, 28
26Literal
27ExprTuple28, 29
28Variable
29Variable