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, Conditional, ExprTuple, Lambda, a, b, fa, fb
from proveit.logic import And, InSet, NotEquals

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