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, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14^*	, , ⊢
	: , : , : , : , : , :
1	reference	17	⊢
2	reference	18	⊢
3	reference	45	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
5	reference	20	⊢
6	instantiation	15	⊢
	: , : , :
7	instantiation	16	⊢
	: , : , : , : , : , :
8	reference	22	⊢
9	reference	23	⊢
10	reference	24	⊢
11	assumption		⊢
12	assumption		⊢
13	assumption		⊢
14	instantiation	17, 18, 44, 19, 20, 21, 22, 23, 24, 25^*	⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
17	theorem		⊢
	proveit.numbers.addition.association
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	26	⊢
	: , :
22	instantiation	46, 29, 27	⊢
	: , : , :
23	instantiation	46, 29, 28	⊢
	: , : , :
24	instantiation	46, 29, 30	⊢
	: , : , :
25	instantiation	31, 32, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	46, 36, 34	⊢
	: , : , :
28	instantiation	46, 36, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	46, 36, 37	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.equals_transitivity
32	instantiation	38, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_4
34	instantiation	46, 42, 40	⊢
	: , : , :
35	instantiation	46, 42, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	46, 42, 43	⊢
	: , : , :
38	axiom		⊢
	proveit.logic.equality.substitution
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
40	instantiation	46, 47, 44	⊢
	: , : , :
41	instantiation	46, 47, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	46, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements