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