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