ULift
📁 Source: Mathlib/Data/ULift.lean
Statistics
| Metric | Count |
|---|---|
| 4 | |
Theoremsdown_bijective, down_surjective, exists, forall, instIsEmpty, instNonempty_mathlib, map_bijective, map_injective, map_surjective, up_bijective, up_inj, up_injective, up_surjective, down_bijective, down_surjective, exists, ext, ext_iff, forall, instIsEmpty, instNonempty_mathlib, map_bijective, map_injective, map_surjective, rec_update, up_bijective, up_inj, up_injective, up_surjective | 29 |
| Total | 33 |
PLift
Definitions
| Name | Category | Theorems |
|---|---|---|
instDecidableEq_mathlib 📖 | CompOp | — |
instUnique 📖 | CompOp | — |
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
down_bijective 📖 | mathematical | — | Function.Bijective | — | Equiv.bijective |
down_surjective 📖 | — | — | — | — | Equiv.surjective |
exists 📖 | — | — | — | — | Function.Surjective.existsup_surjective |
forall 📖 | — | — | — | — | Function.Surjective.forallup_surjective |
instIsEmpty 📖 | mathematical | — | IsEmpty | — | Equiv.isEmpty |
instNonempty_mathlib 📖 | — | — | — | — | Equiv.nonempty |
map_bijective 📖 | mathematical | — | Function.Bijectivemap | — | Function.Bijective.of_comp_iffdown_bijectiveFunction.Bijective.of_comp_iff'up_bijective |
map_injective 📖 | mathematical | — | map | — | Function.Injective.of_comp_iff'down_bijectiveFunction.Injective.of_comp_iffup_injective |
map_surjective 📖 | mathematical | — | map | — | Function.Surjective.of_comp_iffdown_surjectiveFunction.Surjective.of_comp_iff'up_bijective |
up_bijective 📖 | mathematical | — | Function.Bijective | — | Equiv.bijective |
up_inj 📖 | — | — | — | — | — |
up_injective 📖 | — | — | — | — | Equiv.injective |
up_surjective 📖 | — | — | — | — | Equiv.surjective |
ULift
Definitions
| Name | Category | Theorems |
|---|---|---|
instDecidableEq_mathlib 📖 | CompOp | |
instUnique 📖 | CompOp | — |
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
down_bijective 📖 | mathematical | — | Function.Bijective | — | Equiv.bijective |
down_surjective 📖 | — | — | — | — | Equiv.surjective |
exists 📖 | — | — | — | — | Function.Surjective.existsup_surjective |
ext 📖 | — | — | — | — | — |
ext_iff 📖 | — | — | — | — | ext |
forall 📖 | — | — | — | — | Function.Surjective.forallup_surjective |
instIsEmpty 📖 | mathematical | — | IsEmpty | — | Equiv.isEmpty |
instNonempty_mathlib 📖 | — | — | — | — | Equiv.nonempty |
map_bijective 📖 | mathematical | — | Function.Bijectivemap | — | Function.Bijective.of_comp_iffdown_bijectiveFunction.Bijective.of_comp_iff'up_bijective |
map_injective 📖 | mathematical | — | map | — | Function.Injective.of_comp_iff'down_bijectiveFunction.Injective.of_comp_iffup_injective |
map_surjective 📖 | mathematical | — | map | — | Function.Surjective.of_comp_iffdown_surjectiveFunction.Surjective.of_comp_iff'up_bijective |
rec_update 📖 | mathematical | — | Function.updateinstDecidableEq_mathlib | — | Function.rec_updateup_injective |
up_bijective 📖 | mathematical | — | Function.Bijective | — | Equiv.bijective |
up_inj 📖 | — | — | — | — | — |
up_injective 📖 | — | — | — | — | Equiv.injective |
up_surjective 📖 | — | — | — | — | Equiv.surjective |
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