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Theorem zero

⊦ 0 < j → (i ^ j = 0 ↔ i = 0)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: div-div-rec, mod-add1-negneg, mod-add1-pospos, mod-lsz, notneg-01, pot-sub-dist, zero-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: Pot-zero, Pot-pos, zero-01,
Used spec theorems:
- Used simplifier rules: