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.leftward_commutation
2	reference	40	⊢
3	reference	43	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	16, 12, 13	⊢
	: , :
8	instantiation	41, 27, 14	⊢
	: , : , :
9	instantiation	16, 20, 15	⊢
	: , :
10	instantiation	16, 20, 17	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	18, 19, 20, 21	⊢
	: , :
13	instantiation	41, 27, 22	⊢
	: , : , :
14	instantiation	41, 32, 23	⊢
	: , : , :
15	instantiation	41, 27, 24	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
17	instantiation	41, 27, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.division.div_complex_closure
19	instantiation	41, 27, 26	⊢
	: , : , :
20	instantiation	41, 27, 28	⊢
	: , : , :
21	instantiation	29, 30	⊢
	:
22	instantiation	41, 32, 31	⊢
	: , : , :
23	assumption		⊢
24	assumption		⊢
25	instantiation	41, 32, 33	⊢
	: , : , :
26	instantiation	41, 35, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	41, 35, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
33	assumption		⊢
34	instantiation	41, 38, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	41, 38, 39	⊢
	: , : , :
37	instantiation	41, 42, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	41, 42, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2