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Theorem middle-coef-larger-strongest

0 < i ⊦ binom_coef(2 * i, i) * 2 * i ≥ 4 ^ i

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: BertrandsPostulate, middle-coef-larger, middle-coef-larger-stronger,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 19
Proof steps: 35
Used lemmas: middle-coef-largest, middle-coef-not-one-01, middle-coef-not-one, coef-same, coef-zero, Binom-theorem-countFun,
Used spec theorems:
Used simplifier rules:
- int-abs/forward-le-05
- int-abs/ge-def
- int-mult/one
- int-pot/one-01
- int-basic1/ls-01
- intlist/sum-rec
- int-abs/lels
- int-abs/anti
- oelem/intlista/irreflexivity
- list/intlista/in-17
- list/intlista/in-append
- int-mult/zero-gr
- list/intlista/a
- intlist/sum-one
- intlist/sum-app
- intnat/ini2-abs
- int-div/nummult-ls-02
- int-abs/sub-ls-01
- int-abs/leone
- int-mult/zero-ge
- oelem/intlista/lel
- int-abs/numadd-01
- int-abs/lels-02
- int-abs/bet-01
- int-div/nummult-ls
- int-abs/sub-ls
- int-abs/forward-le
- int-abs/forward-le-01
- int-abs/Sub-def
- int-abs/lels-03
- int-abs/lels-01
- int-abs/int-simp-07
- int-basic2/add-a
- int-basic2/add-c
- int-abs/zero-gels-04
- int-mult/le-same-01
- int-mult/associativity
- int-mult/commutativity