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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 B, Conditional, Function, Lambda, Q, f, gy, y
from proveit.logic import And, InSet
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [gy]
expr = Lambda(y, Conditional(Function(f, sub_expr1), And(InSet(y, B), Function(Q, sub_expr1))))
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())
y \mapsto \left\{f\left(g\left(y\right)\right) \textrm{ if } y \in B ,  Q\left(g\left(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
0Lambdaparameter: 17
body: 1
1Conditionalvalue: 2
condition: 3
2Operationoperator: 4
operand: 14
3Operationoperator: 5
operands: 6
4Variable
5Literal
6ExprTuple7, 8
7Operationoperator: 9
operands: 10
8Operationoperator: 11
operand: 14
9Literal
10ExprTuple17, 13
11Variable
12ExprTuple14
13Variable
14Operationoperator: 15
operand: 17
15Variable
16ExprTuple17
17Variable