Expression of type Lambda

from the theory of proveit.logic.equality

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 Lambda, x, y
from proveit.logic import Equals, Not, NotEquals

# build up the expression from sub-expressions
expr = Lambda([x, y], Equals(NotEquals(x, y), Not(Equals(x, y))))

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(x, y\right) \mapsto \left(\left(x \neq y\right) = (\lnot \left(x = y\right))\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameters: 10 body: 1
1	Operation	operator: 9 operands: 2
2	ExprTuple	3, 4
3	Operation	operator: 5 operands: 10
4	Operation	operator: 6 operand: 8
5	Literal
6	Literal
7	ExprTuple	8
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	11, 12
11	Variable
12	Variable