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	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	11	⊢
	: , :
6	instantiation	11	⊢
	: , :
7	instantiation	41, 22, 12	⊢
	: , : , :
8	instantiation	41, 22, 13	⊢
	: , : , :
9	instantiation	14, 15, 16	⊢
	: , :
10	instantiation	41, 22, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	18, 19, 40	⊢
	: , : , :
13	instantiation	18, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
15	instantiation	41, 22, 21	⊢
	: , : , :
16	instantiation	41, 22, 23	⊢
	: , : , :
17	instantiation	41, 29, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
19	instantiation	25, 26	⊢
	: , :
20	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
21	instantiation	41, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	41, 29, 30	⊢
	: , : , :
24	instantiation	41, 33, 38	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
28	instantiation	41, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	41, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
32	instantiation	41, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	37, 38	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
36	instantiation	39, 40	⊢
	:
37	theorem		⊢
	proveit.numbers.negation.int_closure
38	instantiation	41, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.negation.int_neg_closure
40	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1