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, 5	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7, 8, 9, 10, 11, 14, 15, 12	⊢
	: , : , : , : , : , :
5	instantiation	13, 14, 15, 16	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	17	⊢
	: , :
12	instantiation	33, 19, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
14	instantiation	33, 19, 23	⊢
	: , : , :
15	instantiation	33, 19, 20	⊢
	: , : , :
16	instantiation	21	⊢
	:
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	instantiation	22, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	33, 24, 25	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_reflexivity
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	26, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
25	instantiation	33, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
27	instantiation	31, 32	⊢
	: , :
28	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
30	instantiation	33, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
35	instantiation	36, 37	⊢
	:
36	theorem		⊢
	proveit.numbers.negation.int_neg_closure
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1