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, C, Conditional, ExprTuple, Lambda
from proveit.logic import And, Boolean, Forall, Implies, InSet, Or

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A, B], Conditional(Forall(instance_param_or_params = [C], instance_expr = C, conditions = [Implies(A, C), Implies(B, C)]), And(InSet(A, Boolean), InSet(B, Boolean), Or(A, 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\{\forall_{C~|~A \Rightarrow C, B \Rightarrow C}~C \textrm{ if } A \in \mathbb{B} ,  B \in \mathbb{B} ,  A \lor 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	parameters: 18 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operand: 8
4	Operation	operator: 21 operands: 7
5	Literal
6	ExprTuple	8
7	ExprTuple	9, 10, 11
8	Lambda	parameter: 30 body: 13
9	Operation	operator: 15 operands: 14
10	Operation	operator: 15 operands: 16
11	Operation	operator: 17 operands: 18
12	ExprTuple	30
13	Conditional	value: 30 condition: 19
14	ExprTuple	28, 20
15	Literal
16	ExprTuple	29, 20
17	Literal
18	ExprTuple	28, 29
19	Operation	operator: 21 operands: 22
20	Literal
21	Literal
22	ExprTuple	23, 24
23	Operation	operator: 26 operands: 25
24	Operation	operator: 26 operands: 27
25	ExprTuple	28, 30
26	Literal
27	ExprTuple	29, 30
28	Variable
29	Variable
30	Variable