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.association
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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	14, 12, 11	, ⊢
	: , :
8	instantiation	14, 12, 13	, , ⊢
	: , :
9	instantiation	14, 15, 16	, ⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	33, 20, 29	⊢
	: , : , :
12	instantiation	33, 20, 17	⊢
	: , : , :
13	instantiation	33, 20, 18	, ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
15	instantiation	33, 20, 19	⊢
	: , : , :
16	instantiation	33, 20, 23	⊢
	: , : , :
17	instantiation	33, 26, 21	⊢
	: , : , :
18	instantiation	22, 23, 24	, ⊢
	: , :
19	instantiation	33, 31, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
23	instantiation	33, 26, 27	⊢
	: , : , :
24	instantiation	28, 29	⊢
	:
25	instantiation	33, 34, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.negation.real_closure
29	instantiation	33, 31, 32	⊢
	: , : , :
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	assumption		⊢