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