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 Conditional, Lambda
from proveit.core_expr_types import A_1_to_m
from proveit.logic import And, Equals, TRUE

# build up the expression from sub-expressions
sub_expr1 = And(A_1_to_m)
expr = Lambda([A_1_to_m], Conditional(Equals(sub_expr1, TRUE), sub_expr1))

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_{1}, A_{2}, \ldots, A_{m}\right) \mapsto \left\{\left(A_{1} \land  A_{2} \land  \ldots \land  A_{m}\right) = \top \textrm{ if } A_{1} \land  A_{2} \land  \ldots \land  A_{m}\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameters: 8 body: 1
1	Conditional	value: 2 condition: 5
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 8
6	Literal
7	Literal
8	ExprTuple	9
9	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
10	Lambda	parameter: 16 body: 13
11	Literal
12	Variable
13	IndexedVar	variable: 14 index: 16
14	Variable
15	ExprTuple	16
16	Variable