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	generalization	1	, ⊢
1	instantiation	2, 3, 26, 30, 4, 5, 6, 7, 8, 9	, , ⊢
	: , : , : , : , : , : , :
2	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	10	⊢
	: , :
6	instantiation	31, 13, 11	⊢
	: , : , :
7	instantiation	31, 13, 12	⊢
	: , : , :
8	instantiation	31, 13, 16	⊢
	: , : , :
9	instantiation	31, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	assumption		⊢
12	assumption		⊢
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	15, 16, 17	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
16	instantiation	31, 19, 18	⊢
	: , : , :
17	instantiation	31, 19, 20	⊢
	: , : , :
18	instantiation	31, 22, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	31, 22, 23	⊢
	: , : , :
21	instantiation	31, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	31, 32, 26	⊢
	: , : , :
24	instantiation	27, 28, 29	⊢
	: , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
28	instantiation	31, 32, 30	⊢
	: , : , :
29	instantiation	31, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat4