logo

Expression of type Lambda

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 Lambda, x, y
from proveit.logic import Equals, Or
from proveit.numbers import Less, LessEq
In [2]:
# build up the expression from sub-expressions
expr = Lambda([x, y], Equals(LessEq(x, y), Or(Less(x, y), Equals(x, y))))
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, y\right) \mapsto \left(\left(x \leq y\right) = \left(\left(x < y\right) \lor \left(x = y\right)\right)\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Lambdaparameters: 12
body: 1
1Operationoperator: 11
operands: 2
2ExprTuple3, 4
3Operationoperator: 5
operands: 12
4Operationoperator: 6
operands: 7
5Literal
6Literal
7ExprTuple8, 9
8Operationoperator: 10
operands: 12
9Operationoperator: 11
operands: 12
10Literal
11Literal
12ExprTuple13, 14
13Variable
14Variable