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