Commit 2024-06-12 08:11 5e9f7332
View on Github →feat(Algebra): auxiliary results for proofs about elliptic divisibility sequences (#13153)
Int.strongRec
: if a proposition holds for integers less than a threshold, and it holds for an integer above the threshold if it holds for all smaller integers, then it holds for all integers.
negOnePow_abs
says (-1)^|n|=(-1)^n
pos_iff_two_le_of_even
and lt_iff_add_two_le_of_even_sub
are two lemmas about the interaction of parity and the order on the integers.
Equiv.Perm.closure_isSwap
is strengthened to say the submonoid generated by transpositions is the whole group, and moreover show transpositions of adjacent elements are enough.