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