Nat
📁 Source: Mathlib/Algebra/Order/Group/Nat.lean
Statistics
| Metric | Count |
|---|---|
| Definitions | 0 |
| 6 | |
| Total | 6 |
Nat
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
instCanonicallyOrderedAdd 📖 | mathematical | — | CanonicallyOrderedAdd | — | — |
instIsOrderedAddMonoid 📖 | mathematical | — | IsOrderedAddMonoidinstAddCommMonoidinstPartialOrder | — | — |
instIsOrderedCancelAddMonoid 📖 | mathematical | — | IsOrderedCancelAddMonoidinstAddCommMonoidinstPartialOrder | — | — |
instOrderedSub 📖 | mathematical | — | OrderedSub | — | add_zero |
pow_left_strictMono 📖 | mathematical | — | StrictMonoinstPreorderMonoid.toNatPowinstMonoid | — | — |
StrictMono
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
nat_pow 📖 | mathematical | StrictMonoNat.instPreorder | Monoid.toNatPowNat.instMonoid | — | compNat.pow_left_strictMono |
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