Expression of type ExprTuple

from the theory of proveit.logic.sets.subtraction

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 Conditional, ExprTuple, Lambda, S, x, y
from proveit.logic import And, Difference, InSet, NotEquals, Set

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(And(InSet(x, S), NotEquals(x, y)), InSet(x, Difference(S, Set(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 \mapsto \left\{\left(x \in S\right) \land \left(x \neq y\right) \textrm{ if } x \in \left(S - \left\{y\right\}\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: 18 body: 3
2	ExprTuple	18
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 12 operands: 8
6	Literal
7	ExprTuple	9, 10
8	ExprTuple	18, 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 14 operands: 15
11	Operation	operator: 16 operands: 17
12	Literal
13	ExprTuple	18, 19
14	Literal
15	ExprTuple	18, 23
16	Literal
17	ExprTuple	19, 20
18	Variable
19	Variable
20	Operation	operator: 21 operand: 23
21	Literal
22	ExprTuple	23
23	Variable