Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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, f, i, j
from proveit.core_expr_types import f_i_to_j
from proveit.logic import Equals
from proveit.numbers import Add, one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([f, i, j], Conditional(Equals([f_i_to_j], []), Equals(Add(j, one), i))))

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, i, j\right) \mapsto \left\{\left(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j\right)\right) = () \textrm{ if } \left(j + 1\right) = i\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: 2 body: 3
2	ExprTuple	20, 16, 17
3	Conditional	value: 4 condition: 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 16
9	ExprTuple	12
10	ExprTuple
11	Operation	operator: 13 operands: 14
12	ExprRange	lambda_map: 15 start_index: 16 end_index: 17
13	Literal
14	ExprTuple	17, 18
15	Lambda	parameter: 22 body: 19
16	Variable
17	Variable
18	Literal
19	Operation	operator: 20 operand: 22
20	Variable
21	ExprTuple	22
22	Variable