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.exponentiation.exp_monotonicity_large_base_less
2	instantiation	29, 16, 7	⊢
	: , : , :
3	reference	26	⊢
4	instantiation	29, 16, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
6	instantiation	9, 26, 10, 11, 12, 13^*	⊢
	: , : , :
7	instantiation	29, 23, 14	⊢
	: , : , :
8	instantiation	29, 23, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
11	instantiation	29, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
13	instantiation	18, 19	⊢
	:
14	instantiation	29, 30, 20	⊢
	: , : , :
15	instantiation	29, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
17	instantiation	29, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.elim_zero_left
19	instantiation	29, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
22	instantiation	27, 28, 34	⊢
	: , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	29, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	32, 33, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
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
32	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
33	instantiation	35, 36	⊢
	: , :
34	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
35	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
^*equality replacement requirements