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	36	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	reference	11	⊢
8	instantiation	13, 11, 12	, ⊢
	: , :
9	instantiation	13, 14, 15	, ⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	34, 19, 16	⊢
	: , : , :
12	instantiation	34, 19, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	34, 19, 18	⊢
	: , : , :
15	instantiation	34, 19, 22	⊢
	: , : , :
16	instantiation	34, 25, 20	⊢
	: , : , :
17	instantiation	21, 22, 23	⊢
	: , :
18	instantiation	34, 27, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
22	instantiation	34, 25, 26	⊢
	: , : , :
23	instantiation	34, 27, 28	⊢
	: , : , :
24	instantiation	34, 30, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	34, 30, 31	⊢
	: , : , :
29	assumption		⊢
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