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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	6, 19, 7, 18, 21, 8, 27, 22, 23, 5	⊢
	: , : , : , : , : , :
3	instantiation	6, 7, 51, 19, 8, 9, 21, 27, 22, 23, 26, 10	⊢
	: , : , : , : , : , :
4	instantiation	11, 12, 13	⊢
	: , : , :
5	instantiation	49, 33, 14	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
8	instantiation	15	⊢
	: , : , :
9	instantiation	31	⊢
	: , :
10	instantiation	16, 23	⊢
	:
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	17, 51, 18, 19, 20, 21, 27, 22, 23, 26, 24	⊢
	: , : , : , : , : , : , : , :
13	instantiation	25, 26, 27, 28	⊢
	: , : , :
14	instantiation	29, 38, 30	⊢
	: , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	theorem		⊢
	proveit.numbers.negation.complex_closure
17	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	instantiation	31	⊢
	: , :
21	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
22	instantiation	49, 33, 32	⊢
	: , : , :
23	instantiation	49, 33, 36	⊢
	: , : , :
24	instantiation	35	⊢
	:
25	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
26	instantiation	49, 33, 38	⊢
	: , : , :
27	instantiation	49, 33, 34	⊢
	: , : , :
28	instantiation	35	⊢
	:
29	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
30	instantiation	37, 36	⊢
	:
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	instantiation	37, 38	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	42, 43, 39	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_reflexivity
36	instantiation	49, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.negation.real_closure
38	instantiation	42, 43, 44	⊢
	: , : , :
39	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	49, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
43	instantiation	47, 48	⊢
	: , :
44	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	49, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2