Expression of type ExprTuple

from the theory of proveit.logic.sets.functions.injections

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, ExprTuple, a, b, f, fa, fb
from proveit.logic import Forall, Functions, InSet, NotEquals

# build up the expression from sub-expressions
expr = ExprTuple(InSet(f, Functions(A, B)), Forall(instance_param_or_params = [a, b], instance_expr = NotEquals(fa, fb), domain = A, condition = NotEquals(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(f \in \left[A \rightarrow B\right], \forall_{a, b \in A~|~a \neq b}~\left(f\left(a\right) \neq f\left(b\right)\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 26 operands: 3
2	Operation	operator: 4 operand: 7
3	ExprTuple	23, 6
4	Literal
5	ExprTuple	7
6	Operation	operator: 8 operands: 9
7	Lambda	parameters: 29 body: 10
8	Literal
9	ExprTuple	30, 11
10	Conditional	value: 12 condition: 13
11	Variable
12	Operation	operator: 28 operands: 14
13	Operation	operator: 15 operands: 16
14	ExprTuple	17, 18
15	Literal
16	ExprTuple	19, 20, 21
17	Operation	operator: 23 operand: 31
18	Operation	operator: 23 operand: 32
19	Operation	operator: 26 operands: 25
20	Operation	operator: 26 operands: 27
21	Operation	operator: 28 operands: 29
22	ExprTuple	31
23	Variable
24	ExprTuple	32
25	ExprTuple	31, 30
26	Literal
27	ExprTuple	32, 30
28	Literal
29	ExprTuple	31, 32
30	Variable
31	Variable
32	Variable