Expression of type Lambda

from the theory of proveit.numbers.numerals.decimals

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 ExprRange, Lambda, Variable, a, b, c, d, e, f, g, h
from proveit.core_expr_types import Len
from proveit.logic import Equals
from proveit.numbers import eight, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [a, b, c, d, e, f, g, h]
expr = Lambda(sub_expr2, Equals(Len(operands = sub_expr2), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, eight)])))

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(a, b, c, d, e, f, g, h\right) \mapsto \left(|\left(a, b, c, d, e, f, g, h\right)| = |\left(1, 2, \ldots, 8\right)|\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameters: 6 body: 1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10, 11, 12, 13, 14, 15, 16
7	Literal
8	ExprTuple	17
9	Variable
10	Variable
11	Variable
12	Variable
13	Variable
14	Variable
15	Variable
16	Variable
17	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
18	Lambda	parameter: 22 body: 22
19	Literal
20	Literal
21	ExprTuple	22
22	Variable