Pairwise
📁 Source: Mathlib/Data/List/Pairwise.lean
Statistics
List
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
pairwise_cons_cons_iff_of_trans 📖 | — | — | — | — | — |
pairwise_iff 📖 | — | — | — | — | — |
pairwise_of_reflexive_of_forall_ne 📖 | — | Reflexive | — | — | — |
pairwise_replicate_of_refl 📖 | — | — | — | — | refl_of |
sorted_cons_cons 📖 | — | — | — | — | pairwise_cons_cons_iff_of_trans |
sorted_replicate 📖 | — | — | — | — | pairwise_replicate_of_refl |
List.Pairwise
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
cons_cons_of_trans 📖 | — | — | — | — | — |
decide 📖 | — | — | — | — | — |
forall 📖 | — | Symmetric | — | — | forall_of_forall |
forall_of_forall 📖 | — | Symmetric | — | — | Symmetric.flip_eq |
head!_le 📖 | — | — | — | — | refl_of |
of_reverse 📖 | — | — | — | — | — |
pwFilter 📖 | — | — | — | — | — |
rel_dropLast_getLast 📖 | — | — | — | — | rel_head_tail |
rel_getLast 📖 | — | — | — | — | rel_getLast_of_rel_getLast_getLastrefl_of |
rel_getLast_of_rel_getLast_getLast 📖 | — | — | — | — | rel_dropLast_getLast |
rel_get_of_le 📖 | — | — | — | — | refl |
rel_get_of_lt 📖 | — | — | — | — | — |
rel_head 📖 | — | — | — | — | rel_head_of_rel_head_headrefl_of |
rel_head_of_rel_head_head 📖 | — | — | — | — | — |
rel_head_tail 📖 | — | — | — | — | — |
reverse 📖 | — | — | — | — | — |
set_pairwise 📖 | mathematical | Symmetric | Set.PairwisesetOf | — | forall |
List.Sorted
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
cons 📖 | — | — | — | — | List.Pairwise.cons_cons_of_trans |
decide 📖 | — | — | — | — | List.Pairwise.decide |
head!_le 📖 | — | — | — | — | List.Pairwise.head!_le |
le_head! 📖 | — | — | — | — | List.Pairwise.head!_le |
rel_get_of_le 📖 | — | — | — | — | List.Pairwise.rel_get_of_le |
rel_get_of_lt 📖 | — | — | — | — | List.Pairwise.rel_get_of_lt |
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