Prove more equivalences for closure operators on relations.
Add and extend equivalences between closure operators:
- Add
↔lemmas that relatertc,tc,nsteps, andbsteps. - Rename
→lemmasrtc_nsteps→rtc_nsteps_1,nsteps_rtc→rtc_nsteps_2,rtc_bsteps→rtc_bsteps_1, andbsteps_rtc→rtc_bsteps_2. - Add lemmas that relate
rtc,tc,nsteps, andbstepsto path representations as lists.
The _list lemmas were proposed by @jules and he provided an initial proof specific to rtc.
Edited by Robbert Krebbers