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