Expression of type ExprTuple

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

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, ExprTuple, Lambda, f, fx, x
from proveit.logic import Equals, Image, SetOfAll

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([f, A], Equals(Image(f, A), SetOfAll(instance_param_or_params = [x], instance_element = fx, domain = A))))

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(f, A\right) \mapsto \left(f^{\rightarrow}(A) = \left\{f\left(x\right)\right\}_{x \in A}\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: 8 body: 2
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operand: 11
7	Literal
8	ExprTuple	15, 20
9	Literal
10	ExprTuple	11
11	Lambda	parameter: 19 body: 12
12	Conditional	value: 13 condition: 14
13	Operation	operator: 15 operand: 19
14	Operation	operator: 17 operands: 18
15	Variable
16	ExprTuple	19
17	Literal
18	ExprTuple	19, 20
19	Variable
20	Variable