diff --git a/src/SUMMARY.md b/src/SUMMARY.md
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+++ b/src/SUMMARY.md
@@ -198,6 +198,7 @@
 - [Coherence checking](./coherence.md)
 - [HIR Type checking](./hir-typeck/summary.md)
     - [Coercions](./hir-typeck/coercions.md)
+    - [Eager Inference](./hir-typeck/eager-inference.md)
     - [Method lookup](./hir-typeck/method-lookup.md)
 - [Const Generics](./const-generics.md)
 - [Opaque types](./opaque-types-type-alias-impl-trait.md)
diff --git a/src/hir-typeck/eager-inference.md b/src/hir-typeck/eager-inference.md
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@@ -0,0 +1,130 @@
+# Eager Type Inference
+
+There are places during type checking where we need to depend on the "current state of inference." This means we need to establish the type of a term earlier than we otherwise would, making it _eager_ inference.
+
+Depending on the Current State of Inference means _we pay attention to the set of constraints we currently have_ even if we've not finished finding all constraints yet. See: ["Current State of Inference"](#current-state-of-inference).
+
+Eager evaluation of the type of a term (type inference) is required at specific points either to make later type inference more consistent or (in the case of higher-ranked bounds / Higher Ranked Lifetime bounds) make it possible at all.
+
+Eager type inference is when we do type inference earlier than we otherwise would. To do this, we bring in Expectations as an additional piece of context.
+
+## Current State of Inference
+
+The "Current State of Inference" is a set of ongoing context state that may not yet be "complete." This is a set of information we care about while performing type inference and checking.
+
+In practical terms, accessing the current state of inference usually means accessing [`InferCtxtInner`][inferctxtinner]
+
+### Inference Variables
+
+Knowledge about what inference variables are currently resolved to. When we first introduce a variable, we give it an inference variable. This is a number of fields of [`InferCtxtInner`][inferctxtinner], but in the general case it's [`InferCtxtInner::type_variable_storage`][inferctxtinner-tyvars].
+
+```rust
+let x = ...;
+---
+// At initialization.
+x: ?a;
+?a = not known;
+// Maybe later?
+?a = Vec<?b>;
+// And later still
+?a = Vec<String>;
+```
+
+Each time we look up what `?a` currently is we are accessing this part of the Current State of Inference.
+
+### Expectations
+
+[Expectations][expectation] are an additional piece of typing context that shows we _expect_ that a subject will have a given type, but we have not yet assigned applied this to the inference variables for that subject.
+
+We may have knowledge about what an expression's type _should_ be before we further constrain the inference variable associated with it. Consider the following:
+
+```rust
+// fn(u32) -> bool
+fn north(a: u32) -> bool {
+    a > 2000
+}
+
+// Has the type ?a, an inference variable.
+let x = ...;
+// Introduces "x: u32" and "result: bool" as expectations.
+let result = north(x);
+---
+// Regular inference variables
+x: ?a;
+result: ?b;
+// These have not yet been assigned to ?a ?b respectively. But we do know we
+// will need to reconcile these with ?a and ?b in the short term.
+expect x: u32;
+expect result: bool;
+// Then we type check and infer
+```
+
+These pieces of information have not yet been canonized as "things an inference variable _is_" the same way we might be able to look up what `?x` currently maps to in the current state of inference.
+
+### Constraints
+
+This is the set of constraints that need to be solved. We collect these constraints as we move through the codebase being type checked.
+
+## Places Where Eager Inference Happens
+
+Eager inference is very common.
+
+### Closures and Higher-Ranked Variables
+
+Top-level functions, such as the following, have their types fully annotated at their definition site:
+
+```rust
+fn is_even(number: i32) -> bool {
+    number % 2 == 0
+}
+---
+// We don't have to infer this, it's annotated.
+is_even: fn(i32) -> bool
+```
+
+This makes inference at points where they're used relatively easy. We know it's a `fn(i32) -> bool`, so when we give it an `i32` we know the expression is a `bool`.
+
+_Closures_ need to have type inference eagerly applied to them because they are functions that are rarely fully annotated:
+
+```rust
+let closure = |a, b| if a < b {vec![1, 2, 3]} else {vec![5, 6, 7]};
+---
+// Doesn't capture any information so it's a bare function pointer
+// but we still don't know much about it.
+closure: fn(?x, ?y) -> ?z
+```
+
+If we didn't do eager type inference we would instead have closures whose types were filled with [inference variables](../appendix/glossary.md#inf-var) (like the `?x, ?y, ?z` variables above).
+
+Eagerly inferring the type of `closure` here serves a couple of purposes. Firstly, it's a decent heuristic that if we define a closure we'll use it later and having its type be known will mean a less intense inference solve. Having eagerly inferred the type of a closure lets us establish [Expectations](#expectations) that don't have inference variables in them.
+
+Secondly, functions can introduce Higher-Ranked Bounds for lifetimes. Inferring the types for a closure that uses higher-ranked bounds **requires** us to do work earlier, as part of the bidirectional[^jonesetal2007] type checking algorithm we use.
+
+This would be able to be solved in some situations, but because we do not have Higher-Ranked Inference Variables[^higher-ranked-inference] this would make the higher-ranked bounds for lifetimes that rust can have unusable without more annotation.
+
+### Trait Solving
+
+Trait solving can be run on a [`TyKind`][tykind] at any point. Failure is recoverable, so we can repeat this operation, but if at the end of an Item we can't establish if a type implements a trait then we error.
+
+### Coercions 
+
+[Coercions](./coercions.md) can happen in many places. We check to see if a coercion can happen, and if it can we perform the coercion. 
+
+TODO: Stub, relationship to eager inference is not well established.
+
+TODO: Following are stubs, need to determine if these are relevant to bring up.
+
+- **Methods**:
+    - See: [method lookup](./method-lookup.md)
+- **Fields**:
+    - Field access is inherently typed, so when we are doing field access we want to be able to know what a type is as early as possible.
+- **Indexes**:
+    Indexing engages in coercion and therefore needs to engage in eager type inference.
+---
+
+[expectation]: https://doc.rust-lang.org/stable/nightly-rustc/rustc_hir_typeck/expectation/enum.Expectation.html
+[inferctxtinner]: https://doc.rust-lang.org/stable/nightly-rustc/rustc_infer/infer/struct.InferCtxtInner.html
+[inferctxtinner-tyvars]: https://doc.rust-lang.org/stable/nightly-rustc/rustc_infer/infer/struct.InferCtxtInner.html#structfield.type_variable_storage
+[tykind]: https://doc.rust-lang.org/nightly/nightly-rustc/rustc_middle/ty/sty/type.TyKind.html
+[^higher-ranked-inference]: https://github.com/rust-lang/types-team/issues/131
+[^jonesetal2007]: [Practical Type Inference for Arbitrary-Rank Types, Jones et al 2007](https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/putting.pdf)
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