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	9, 31, 5, 6, 12, 15, 13, 14	⊢
	: , : , : , : , : , : , :
3	instantiation	9, 32, 31, 35, 7, 8, 12, 13, 15, 14	⊢
	: , : , : , : , : , : , :
4	instantiation	9, 35, 32, 31, 10, 11, 12, 13, 14, 15	⊢
	: , : , : , : , : , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
6	instantiation	16	⊢
	: , : , : , :
7	instantiation	18	⊢
	: , :
8	instantiation	17	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.leftward_commutation
10	instantiation	17	⊢
	: , : , :
11	instantiation	18	⊢
	: , :
12	instantiation	33, 21, 19	⊢
	: , : , :
13	instantiation	33, 21, 20	⊢
	: , : , :
14	instantiation	33, 21, 22	⊢
	: , : , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	33, 25, 23	⊢
	: , : , :
20	instantiation	33, 25, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	33, 25, 26	⊢
	: , : , :
23	instantiation	33, 29, 27	⊢
	: , : , :
24	instantiation	33, 29, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	33, 29, 30	⊢
	: , : , :
27	instantiation	33, 34, 31	⊢
	: , : , :
28	instantiation	33, 34, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	33, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat3