Expression of type Lambda

from the theory of proveit.statistics

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

# 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:

# 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

# 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..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 17 body: 1
1	Conditional	value: 2 condition: 3
2	Operation	operator: 4 operand: 14
3	Operation	operator: 5 operands: 6
4	Variable
5	Literal
6	ExprTuple	7, 8
7	Operation	operator: 9 operands: 10
8	Operation	operator: 11 operand: 14
9	Literal
10	ExprTuple	17, 13
11	Variable
12	ExprTuple	14
13	Variable
14	Operation	operator: 15 operand: 17
15	Variable
16	ExprTuple	17
17	Variable