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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	18, 21, 5, 6, 7	⊢
	: , : , :
3	instantiation	8	⊢
	:
4	instantiation	9, 10	⊢
	: , :
5	instantiation	39, 31, 11	⊢
	: , : , :
6	instantiation	39, 31, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	13, 14, 15	⊢
	: , : , :
11	instantiation	39, 34, 16	⊢
	: , : , :
12	instantiation	39, 34, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	18, 21, 27, 19	⊢
	: , : , :
15	instantiation	20, 21, 22	⊢
	: , :
16	instantiation	39, 37, 23	⊢
	: , : , :
17	instantiation	39, 37, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
20	theorem		⊢
	proveit.numbers.addition.commutation
21	instantiation	39, 31, 25	⊢
	: , : , :
22	instantiation	26, 27	⊢
	:
23	instantiation	39, 40, 28	⊢
	: , : , :
24	instantiation	39, 40, 29	⊢
	: , : , :
25	instantiation	39, 34, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.complex_closure
27	instantiation	39, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
30	instantiation	39, 37, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	39, 34, 35	⊢
	: , : , :
33	instantiation	39, 40, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	39, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2