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, ExprRange, ExprTuple, Lambda, Variable, n, x
from proveit.logic import Equals, InSet
from proveit.numbers import NaturalPos, one, subtract

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Lambda([n, x], Conditional(Equals([ExprRange(sub_expr1, x, one, n)], [x, ExprRange(sub_expr1, x, one, subtract(n, one))]), InSet(n, NaturalPos))))

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(n, x\right) \mapsto \left\{\left(x, x, ..\left(n - 3\right) \times.., x\right) = \left(x,x, x, ..\left(n - 4\right) \times.., x\right) \textrm{ if } n \in \mathbb{N}^+\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	22, 18
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	22, 12
10	ExprTuple	13
11	ExprTuple	18, 14
12	Literal
13	ExprRange	lambda_map: 15 start_index: 26 end_index: 22
14	ExprRange	lambda_map: 15 start_index: 26 end_index: 16
15	Lambda	parameter: 21 body: 18
16	Operation	operator: 19 operands: 20
17	ExprTuple	21
18	Variable
19	Literal
20	ExprTuple	22, 23
21	Variable
22	Variable
23	Operation	operator: 24 operand: 26
24	Literal
25	ExprTuple	26
26	Literal