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	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	reference	33	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	39, 13, 11	⊢
	: , : , :
8	instantiation	39, 13, 12	⊢
	: , : , :
9	instantiation	39, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	39, 17, 15	⊢
	: , : , :
12	instantiation	39, 17, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	39, 17, 18	⊢
	: , : , :
15	instantiation	39, 19, 20	⊢
	: , : , :
16	instantiation	39, 22, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	39, 22, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
20	instantiation	23, 24, 25	⊢
	: , :
21	instantiation	37, 26	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
24	instantiation	39, 27, 28	⊢
	: , : , :
25	instantiation	29, 30, 31	⊢
	: , :
26	instantiation	39, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
28	instantiation	39, 34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
30	instantiation	39, 40, 36	⊢
	: , : , :
31	instantiation	37, 38	⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
36	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
37	theorem		⊢
	proveit.numbers.negation.int_closure
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
41	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos