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, C, Conditional, ExprTuple, Lambda, f
from proveit.logic import InSet, Injections

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(f, Conditional(InSet(f, Injections(A, C)), InSet(f, Injections(B, C)))))

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 \mapsto \left\{f \in \left[A \xrightarrow[]{\text{1-to-1}} C\right] \textrm{ if } f \in \left[B \xrightarrow[]{\text{1-to-1}} C\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: 10 body: 3
2	ExprTuple	10
3	Conditional	value: 4 condition: 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	10, 9
7	Literal
8	ExprTuple	10, 11
9	Operation	operator: 13 operands: 12
10	Variable
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 17
13	Literal
14	ExprTuple	16, 17
15	Variable
16	Variable
17	Variable