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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 36, 5, 6, 7, 8, 14, 9, 10, 13, 11	⊢
	: , : , : , : , : , : , : , :
3	instantiation	12, 13, 14, 15	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	16	⊢
	: , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	34, 19, 17	⊢
	: , : , :
10	instantiation	34, 19, 18	⊢
	: , : , :
11	instantiation	21	⊢
	:
12	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
13	instantiation	34, 19, 23	⊢
	: , : , :
14	instantiation	34, 19, 20	⊢
	: , : , :
15	instantiation	21	⊢
	:
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	22, 23	⊢
	:
18	instantiation	34, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	27, 28, 26	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_reflexivity
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	27, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	34, 30, 31	⊢
	: , : , :
26	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	32, 33	⊢
	: , :
29	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	34, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2