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	6, 5	, ⊢
	: , : , :
3	instantiation	6, 7	, ⊢
	: , : , :
4	instantiation	8, 9, 29	, ⊢
	: , :
5	instantiation	10, 14, 12, 15, 17, 19, 18	, ⊢
	: , : , : , : , : , : , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	11, 12, 13, 14, 15, 16, 17, 18, 19	, ⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.rounding.round_of_real_plus_int
9	instantiation	20, 22, 23	, ⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.leftward_commutation
11	theorem		⊢
	proveit.numbers.addition.association
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	21	⊢
	: , :
17	instantiation	30, 24, 22	⊢
	: , : , :
18	instantiation	30, 24, 23	⊢
	: , : , :
19	instantiation	30, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	assumption		⊢
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	30, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	30, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat3