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	⊢
	: , : , :
1	reference	6	⊢
2	instantiation	4, 38, 41, 11, 5, 12, 21, 15, 14	⊢
	: , : , : , : , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	instantiation	17	⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	9, 38, 11, 12, 21, 15, 14	⊢
	: , : , : , : , : , : , :
8	instantiation	10, 11, 41, 38, 12, 13, 21, 14, 15, 16^*	⊢
	: , : , : , : , : , :
9	theorem		⊢
	proveit.numbers.addition.leftward_commutation
10	theorem		⊢
	proveit.numbers.addition.association
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	17	⊢
	: , :
14	instantiation	18, 22	⊢
	:
15	instantiation	39, 28, 19	⊢
	: , : , :
16	instantiation	20, 21, 22, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	theorem		⊢
	proveit.numbers.negation.complex_closure
19	instantiation	24, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
21	instantiation	39, 28, 27	⊢
	: , : , :
22	instantiation	39, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
24	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
25	instantiation	30, 31	⊢
	: , :
26	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
27	instantiation	39, 33, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	39, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
32	instantiation	39, 36, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	39, 36, 37	⊢
	: , : , :
35	instantiation	39, 40, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat2
^*equality replacement requirements