Expression of type ExprTuple

from the theory of proveit.logic.booleans.implication

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 Boolean, Forall, Implies, InSet, Not

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(A, Conditional(Forall(instance_param_or_params = [B], instance_expr = A, conditions = [Implies(Not(A), B), Not(B)]), InSet(A, Boolean))))

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 \mapsto \left\{\forall_{B~|~(\lnot A) \Rightarrow B, \lnot B}~A \textrm{ if } A \in \mathbb{B}\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	parameter: 24 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operand: 9
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9
7	Literal
8	ExprTuple	24, 10
9	Lambda	parameter: 21 body: 11
10	Literal
11	Conditional	value: 24 condition: 12
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16
15	Operation	operator: 17 operands: 18
16	Operation	operator: 22 operand: 21
17	Literal
18	ExprTuple	20, 21
19	ExprTuple	21
20	Operation	operator: 22 operand: 24
21	Variable
22	Literal
23	ExprTuple	24
24	Variable