Expression of type ExprTuple

from the theory of proveit.logic.sets.disjointness

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 B, Conditional, ExprTuple, Lambda, X
from proveit.core_expr_types import A_1_to_m
from proveit.logic import Disjoint, InSet, Set

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(X, Conditional(Disjoint(X, B), InSet(X, Set(A_1_to_m)))))

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 \mapsto \left\{\textrm{disjoint}\left(X, B\right) \textrm{ if } X \in \left\{A_{1}, A_{2}, \ldots, A_{m}\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	parameter: 11 body: 3
2	ExprTuple	11
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	11, 10
8	Literal
9	ExprTuple	11, 12
10	Variable
11	Variable
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15
15	ExprRange	lambda_map: 16 start_index: 17 end_index: 18
16	Lambda	parameter: 22 body: 19
17	Literal
18	Variable
19	IndexedVar	variable: 20 index: 22
20	Variable
21	ExprTuple	22
22	Variable