Expression of type Lambda

from the theory of proveit.logic.booleans.conjunction

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, B, Conditional, Lambda
from proveit.logic import And, Boolean, InSet, Not

# build up the expression from sub-expressions
expr = Lambda([A, B], Conditional(Not(And(A, B)), And(InSet(A, Boolean), InSet(B, Boolean), Not(A))))

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())

\left(A, B\right) \mapsto \left\{\lnot \left(A \land B\right) \textrm{ if } A \in \mathbb{B} ,  B \in \mathbb{B} ,  \lnot A\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameters: 11 body: 1
1	Conditional	value: 2 condition: 3
2	Operation	operator: 15 operand: 6
3	Operation	operator: 10 operands: 5
4	ExprTuple	6
5	ExprTuple	7, 8, 9
6	Operation	operator: 10 operands: 11
7	Operation	operator: 13 operands: 12
8	Operation	operator: 13 operands: 14
9	Operation	operator: 15 operand: 19
10	Literal
11	ExprTuple	19, 17
12	ExprTuple	19, 18
13	Literal
14	ExprTuple	17, 18
15	Literal
16	ExprTuple	19
17	Variable
18	Literal
19	Variable