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	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	7, 8	⊢
	: , :
4	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
5	instantiation	28, 9, 10	⊢
	: , : , :
6	instantiation	28, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
8	instantiation	13, 30, 14, 27, 15, 16^, 17^	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
10	instantiation	18, 34, 31	⊢
	: , :
11	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
12	instantiation	19, 34	⊢
	:
13	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
15	instantiation	20, 21	⊢
	: , :
16	instantiation	22, 25	⊢
	:
17	instantiation	23, 24, 25	⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
19	theorem		⊢
	proveit.numbers.negation.int_neg_closure
20	theorem		⊢
	proveit.numbers.ordering.relax_less
21	instantiation	26, 31	⊢
	:
22	theorem		⊢
	proveit.numbers.addition.elim_zero_left
23	theorem		⊢
	proveit.numbers.addition.commutation
24	instantiation	28, 29, 27	⊢
	: , : , :
25	instantiation	28, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
27	instantiation	32, 33, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	32, 33, 34	⊢
	: , : , :
31	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
32	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
33	instantiation	35, 36	⊢
	: , :
34	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
35	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
^*equality replacement requirements