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, 5, 6, 7, 8, 9, 12, 13, 10	⊢
	: , : , : , : , : , :
3	instantiation	11, 12, 13, 14	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	15	⊢
	: , :
10	instantiation	17, 18, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
12	instantiation	17, 18, 21	⊢
	: , : , :
13	instantiation	17, 18, 19	⊢
	: , : , :
14	instantiation	20	⊢
	:
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	22, 21	⊢
	:
17	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	22, 23	⊢
	:
20	axiom		⊢
	proveit.logic.equality.equals_reflexivity
21	instantiation	25, 26, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	25, 26, 27	⊢
	: , : , :
24	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
25	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
26	instantiation	28, 29	⊢
	: , :
27	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
28	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real