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