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	, ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	instantiation	11	⊢
	: , :
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	39, 19, 12	, ⊢
	: , : , :
8	reference	15	⊢
9	instantiation	39, 19, 13	⊢
	: , : , :
10	instantiation	14, 15	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	39, 24, 16	, ⊢
	: , : , :
13	instantiation	17, 18, 41	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	39, 19, 20	⊢
	: , : , :
16	instantiation	39, 28, 21	, ⊢
	: , : , :
17	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
18	instantiation	22, 23	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	39, 24, 25	⊢
	: , : , :
21	instantiation	39, 26, 27	, ⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	39, 28, 34	⊢
	: , : , :
26	instantiation	29, 30, 31	⊢
	: , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
30	instantiation	32, 33, 34	⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
32	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
33	instantiation	35, 36	⊢
	:
34	instantiation	39, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.negation.int_closure
36	instantiation	39, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
41	assumption		⊢