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Theorem mininv-inverts
⊦ mon<(nσ) ∧ min(nσ, n + 1) = 1 + min(nσ, n) → nσ[min(nσ, n)] = n
Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
min-empty
,
min-def
,
Used spec theorems:
Used simplifier rules:
nat-inf
/
add-fin
nat
/
succ-01
nat-basic2
/
s
nat
/
lels
nat
/
add-01
nat-basic2
/
add-base
nat-basic2
/
a
nat-basic2
/
c
nat
/
lels-02
nat-basic2
/
eq
nat-basic1
/
f
nat-basic1
/
ls-02
nat-basic1
/
ref-1