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Expression of type Lambda

from the theory of proveit.statistics

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, Lambda, Qx, X, fx, x
from proveit.logic import And, InSet
from proveit.statistics import Prob
In [2]:
# build up the expression from sub-expressions
expr = Lambda(x, Conditional(Prob(fx), And(InSet(x, X), Qx)))
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())
x \mapsto \left\{\textrm{Pr}\left(f\left(x\right)\right) \textrm{ if } x \in X ,  Q\left(x\right)\right..
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Lambdaparameter: 17
body: 1
1Conditionalvalue: 2
condition: 3
2Operationoperator: 4
operand: 8
3Operationoperator: 6
operands: 7
4Literal
5ExprTuple8
6Literal
7ExprTuple9, 10
8Operationoperator: 11
operand: 17
9Operationoperator: 12
operands: 13
10Operationoperator: 14
operand: 17
11Variable
12Literal
13ExprTuple17, 16
14Variable
15ExprTuple17
16Variable
17Variable