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, 37, 7, 8, 12, 9, 11	⊢
	: , : , : , : , : , :
3	instantiation	10, 11, 12, 13	⊢
	: , : , :
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.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	14	⊢
	: , :
9	instantiation	35, 17, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
11	instantiation	35, 17, 16	⊢
	: , : , :
12	instantiation	35, 17, 18	⊢
	: , : , :
13	instantiation	19	⊢
	:
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	35, 20, 21	⊢
	: , : , :
16	instantiation	35, 22, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	24, 25, 26	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
21	instantiation	35, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	35, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
25	instantiation	31, 32	⊢
	: , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
28	instantiation	35, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	35, 36, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
34	instantiation	38, 39	⊢
	:
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.numbers.negation.int_neg_closure
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1