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	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	reference	37	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	35, 19, 11	⊢
	: , : , :
8	instantiation	35, 19, 12	⊢
	: , : , :
9	instantiation	13, 14	⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	35, 25, 15	⊢
	: , : , :
12	instantiation	16, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	instantiation	35, 19, 20	⊢
	: , : , :
15	instantiation	35, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
17	instantiation	23, 24	⊢
	: , :
18	assumption		⊢
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	35, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
22	instantiation	27, 28, 29	⊢
	: , :
23	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	35, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
28	instantiation	35, 33, 32	⊢
	: , : , :
29	instantiation	35, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	35, 36, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
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