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