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, Equals, FALSE, Not

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

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\{\left(A \land B\right) = \bot \textrm{ if } \lnot A ,  \lnot B\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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