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, 5, 6	, , , , , , ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.multiplication.reversed_strong_bound_via_right_factor_bound
2	assumption		⊢
3	instantiation	8, 9, 7, 34, 32, 38	, , ⊢
	: , :
4	instantiation	8, 9, 10, 34, 35, 38	, , ⊢
	: , :
5	instantiation	11, 38, 12, 13, 14, 15^, 16^	, , , , ⊢
	: , : , :
6	assumption		⊢
7	instantiation	17	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	instantiation	17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
12	instantiation	18, 34, 32	, ⊢
	: , :
13	instantiation	18, 34, 35	, ⊢
	: , :
14	instantiation	19, 34, 32, 35, 20	, , , ⊢
	: , : , :
15	instantiation	23, 24, 25, 26, 27, 21, 29, 22, 31	, , ⊢
	: , : , : , : , : , :
16	instantiation	23, 24, 25, 26, 27, 28, 29, 30, 31	, , ⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
19	theorem		⊢
	proveit.numbers.addition.strong_bound_via_right_term_bound
20	assumption		⊢
21	instantiation	33	⊢
	: , :
22	instantiation	36, 37, 32	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.disassociation
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	33	⊢
	: , :
29	instantiation	36, 37, 34	⊢
	: , : , :
30	instantiation	36, 37, 35	⊢
	: , : , :
31	instantiation	36, 37, 38	⊢
	: , : , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	assumption		⊢
35	assumption		⊢
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	assumption		⊢
^*equality replacement requirements