Expression of type Lambda

from the theory of proveit.logic.booleans.disjunction

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 A, Conditional, IndexedVar, Lambda
from proveit.logic import Boolean, InSet
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = IndexedVar(A, one)
sub_expr2 = InSet(sub_expr1, Boolean)
expr = Lambda(sub_expr1, Conditional(sub_expr2, sub_expr2))

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())

A_{1} \mapsto \left\{A_{1} \in \mathbb{B} \textrm{ if } A_{1} \in \mathbb{B}\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 6 body: 2
1	ExprTuple	6
2	Conditional	value: 3 condition: 3
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	IndexedVar	variable: 8 index: 10
7	Literal
8	Variable
9	ExprTuple	10
10	Literal