Theory: gen_induct

Parents


Type constants


Term constants


Axioms


Definitions


Theorems

GEN_INDUCT_lemma1
|- !P. (!m n. n <= m ==> P n) ==> (!m. P m)
GEN_INDUCT_lemma2
|- !m n. n <= m = n < SUC m
GEN_INDUCT_lemma3
|- !P. (!m. (!n. n < m ==> P n) ==> P m) ==> (!m n. n <= m ==> P n)
GEN_INDUCT_thm
|- !P. (!m. (!n. n < m ==> P n) ==> P m) ==> (!m. P m)