Expression of type ExprTuple

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

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A, B], Conditional(Or(A, B), And(InSet(A, Boolean), InSet(B, Boolean), Not(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(\left(A, B\right) \mapsto \left\{A \lor B \textrm{ if } A \in \mathbb{B} ,  B \in \mathbb{B} ,  \lnot \left((\lnot A) \land (\lnot B)\right)\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 6 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 17 operands: 7
5	Literal
6	ExprTuple	24, 25
7	ExprTuple	8, 9, 10
8	Operation	operator: 12 operands: 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 22 operand: 16
11	ExprTuple	24, 15
12	Literal
13	ExprTuple	25, 15
14	ExprTuple	16
15	Literal
16	Operation	operator: 17 operands: 18
17	Literal
18	ExprTuple	19, 20
19	Operation	operator: 22 operand: 24
20	Operation	operator: 22 operand: 25
21	ExprTuple	24
22	Literal
23	ExprTuple	25
24	Variable
25	Variable