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	reference	36	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	13, 11, 12	, ⊢
	: , :
8	instantiation	13, 14, 15	, ⊢
	: , :
9	reference	14	⊢
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	34, 18, 16	⊢
	: , : , :
12	instantiation	34, 18, 23	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	34, 18, 17	⊢
	: , : , :
15	instantiation	34, 18, 19	⊢
	: , : , :
16	instantiation	34, 28, 20	⊢
	: , : , :
17	instantiation	34, 26, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	22, 23, 24	⊢
	: , :
20	instantiation	34, 30, 25	⊢
	: , : , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
23	instantiation	34, 26, 27	⊢
	: , : , :
24	instantiation	34, 28, 29	⊢
	: , : , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	34, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	32, 33	⊢
	:
32	theorem		⊢
	proveit.numbers.negation.int_closure
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1