Expression of type Lambda

from the theory of proveit.logic.booleans.conjunction

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, Conditional, ExprRange, Lambda, Variable, n
from proveit.logic import And
from proveit.numbers import one

# build up the expression from sub-expressions
expr = Lambda(A, Conditional(And(ExprRange(Variable("_a", latex_format = r"{_{-}a}"), A, one, n)), A))

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())

A \mapsto \left\{A \land  A \land  ..\left(n - 3\right) \times.. \land  A \textrm{ if } A\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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