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