krauss [Fri, 22 Mar 2013 00:39:14 +0100] rev 51484
allow induction predicates with arbitrary arity (not just binary)
hoelzl [Fri, 22 Mar 2013 10:41:43 +0100] rev 51483
modernized definition of root: use the_inv, handle positive and negative case uniformly, and 0-th root is constant 0
hoelzl [Fri, 22 Mar 2013 10:41:43 +0100] rev 51482
arcsin and arccos are continuous on {0 .. 1} (including the endpoints)
hoelzl [Fri, 22 Mar 2013 10:41:43 +0100] rev 51481
move continuous_on_inv to HOL image (simplifies isCont_inverse_function)
hoelzl [Fri, 22 Mar 2013 10:41:43 +0100] rev 51480
move connected to HOL image; used to show intermediate value theorem
hoelzl [Fri, 22 Mar 2013 10:41:43 +0100] rev 51479
move compact to the HOL image; prove compactness of real closed intervals; show that continuous functions attain supremum and infimum on compact sets
hoelzl [Fri, 22 Mar 2013 10:41:43 +0100] rev 51478
move continuous and continuous_on to the HOL image; isCont is an abbreviation for continuous (at x) (isCont is now restricted to a T2 space)
hoelzl [Fri, 22 Mar 2013 10:41:43 +0100] rev 51477
clean up lemma_nest_unique and renamed to nested_sequence_unique
hoelzl [Fri, 22 Mar 2013 10:41:43 +0100] rev 51476
simplify proof of the Bolzano bisection lemma; use more meta-logic to state it; renamed lemma_Bolzano to Bolzano
hoelzl [Fri, 22 Mar 2013 10:41:43 +0100] rev 51475
introduct the conditional_complete_lattice type class; generalize theorems about real Sup and Inf to it