Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	deduction	4	⊢
3	instantiation	5, 20, 6	⊢
	: , : , :
4	instantiation	9, 7, 8	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.sets.enumeration.enum_set_def
6	instantiation	30	⊢
	: , : , :
7	instantiation	9, 10, 11	⊢
	: , : , :
8	instantiation	15, 20, 24, 27, 12, 29, 16, 38, 17, 18, 39	⊢
	: , : , : , : , : , : , :
9	theorem		⊢
	proveit.logic.equality.sub_right_side_into
10	instantiation	19, 20, 26, 27, 21, 13, 29, 14	⊢
	: , : , : , : , : , :
11	instantiation	15, 24, 26, 23, 16, 17, 18, 38, 39	⊢
	: , : , : , : , : , : , :
12	instantiation	30	⊢
	: , : , :
13	instantiation	34	⊢
	: , :
14	instantiation	19, 27, 20, 24, 29, 21, 22	⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.logic.booleans.disjunction.leftward_commutation
16	instantiation	25, 27, 26, 29, 23, 32	⊢
	: , : , : , : , :
17	instantiation	25, 24, 32	⊢
	: , : , : , : , :
18	instantiation	25, 26, 27, 28, 29, 32	⊢
	: , : , : , : , :
19	theorem		⊢
	proveit.logic.booleans.disjunction.disassociate
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
21	instantiation	30	⊢
	: , : , :
22	instantiation	31, 32, 33, 36	⊢
	: , :
23	instantiation	34	⊢
	: , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	theorem		⊢
	proveit.logic.booleans.disjunction.each_is_bool
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	instantiation	34	⊢
	: , :
29	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
31	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_left
32	instantiation	35, 36	⊢
	:
33	instantiation	37, 38, 39	⊢
	: , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
36	assumption		⊢
37	theorem		⊢
	proveit.logic.booleans.disjunction.binary_closure
38	instantiation	40	⊢
	: , :
39	instantiation	40	⊢
	: , :
40	axiom		⊢
	proveit.logic.equality.equality_in_bool