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Theorem range-recbegin

⊦ m to n = (m < n ⊃ (m + 1 to n) ++ m;∅)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
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: range-def,
Used spec theorems:
- set-basic/Extension
Used simplifier rules:
- set-basic/ne
- set-basic/In-empty
- set-basic/ne-01
- nat/lels-02
- nat-basic/c
- nat-basic/a
- nat/succ-01
- set-basic/In-insert
- nat/ls-le-simp
- nat-basic/f
- nat/fle-01
- nat/fle
- nat/let
- nat/lels
- nat/lels-03
- nat/ler