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Theorem le

⊦ n→i(m) ≤ n→i(n) ↔ m ≤ n

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: num-i2n-le-01, num-i2n-le-02, num-i2n-le-03, num-i2n-ls, num-n2i-ls-02, num-n2i-ls-04, switch-le,
Used by units in proved state: int-pot,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: nat2int-04, succ-01, nat2int,
Used spec theorems:
- Used simplifier rules: