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, x
from proveit.logic import Equals
from proveit.numbers import five, one

# build up the expression from sub-expressions
expr = Lambda(x, Equals([ExprRange(Variable("_a", latex_format = r"{_{-}a}"), x, one, five)], [x, x, x, x, x]))

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())

x \mapsto \left(\left(x, x, ..2 \times.., x\right) = \left(x, x, x, x, x\right)\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 12 body: 2
1	ExprTuple	12
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	ExprTuple	7
6	ExprTuple	12, 12, 12, 12, 12
7	ExprRange	lambda_map: 8 start_index: 9 end_index: 10
8	Lambda	parameter: 13 body: 12
9	Literal
10	Literal
11	ExprTuple	13
12	Variable
13	Variable