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Theorem elim-pred-c

n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1

Type: A user defined theorem
Validity: The proof is valid.
Features: elim,
Comment:
Used by: elim-sub, pred, pred-02, prop, prop-06, succ-05,
Used by units in proved state: list-last, list-del, stream, list, nat-div, set-union, stut-mon, olist, nat-prime, nat-pot, nat-even, mon-lim-filter-count, list-set, list-perm, list-data, intnat, int-pair, bag-union, store, nat-mult, rtc-rel, rtc, infinite-append, array-list, nat, nat,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: num-01, num-02,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/c
  - nat-basic2/a