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fix expressions in some headers
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fredrik-bakke committed May 19, 2023
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2 changes: 1 addition & 1 deletion src/elementary-number-theory/addition-integers.lagda.md
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Expand Up @@ -424,7 +424,7 @@ is-binary-emb-add-ℤ =
is-binary-emb-is-binary-equiv is-binary-equiv-left-add-ℤ
```

### Addition by x is injective
### Addition by `x` is injective

```agda
is-injective-right-add-ℤ : (x : ℤ) is-injective (_+ℤ x)
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2 changes: 1 addition & 1 deletion src/foundation-core/retractions.lagda.md
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Expand Up @@ -59,7 +59,7 @@ module _

## Properties

### If A is a retraction of B, then the identity types of A are retractions of the identity types of B
### If `A` is a retraction of `B`, then the identity types of `A` are retractions of the identity types of `B`

```agda
module _
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2 changes: 1 addition & 1 deletion src/foundation-core/sets.lagda.md
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Expand Up @@ -77,7 +77,7 @@ module _
( contraction (is-proof-irrelevant-is-prop (H x x) refl) p)
```

### If a reflexive binary relation maps into the identity type of A, then A is a set
### If a reflexive binary relation maps into the identity type of `A`, then `A` is a set

```agda
module _
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2 changes: 1 addition & 1 deletion src/foundation/equivalences-maybe.lagda.md
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Expand Up @@ -94,7 +94,7 @@ abstract
is-not-exception-injective-map-exception-Maybe (is-injective-emb e)
```

### If f is injective and f (inl x) is an exception, then f exception is a value
### If `f` is injective and `f (inl x)` is an exception, then `f exception` is a value

```agda
is-value-injective-map-exception-Maybe :
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2 changes: 1 addition & 1 deletion src/foundation/fiber-inclusions.lagda.md
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Expand Up @@ -62,7 +62,7 @@ module _

## Properties

### The fiber inclusions are truncated maps for any type family B if and only if A is truncated
### The fiber inclusions are truncated maps for any type family `B` if and only if `A` is truncated

```agda
module _
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2 changes: 1 addition & 1 deletion src/foundation/unital-binary-operations.lagda.md
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Expand Up @@ -65,7 +65,7 @@ is-coherently-unital {A = A} μ = Σ A (coherent-unit-laws μ)

## Properties

### The unit laws for an operation μ with unit e can be upgraded to coherent unit laws
### The unit laws for an operation `μ` with unit `e` can be upgraded to coherent unit laws

```agda
module _
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2 changes: 1 addition & 1 deletion src/group-theory/commutators-groups.lagda.md
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Expand Up @@ -38,7 +38,7 @@ module _

## Properties

### The commutator of x and y is unit if and only x and y commutes
### The commutator of `x` and `y` is unit if and only `x` and `y` commutes

```agda
module _
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2 changes: 1 addition & 1 deletion src/lists/sorted-vectors.lagda.md
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Expand Up @@ -95,7 +95,7 @@ module _
is-leq-head-head-tail-is-sorted-vec (x ∷ y ∷ v) s = pr1 s
```

### If a vector `v' = y ∷ v` is sorted then for all elements `x` less than or equal to `y`, `x` is less than or equal to every element in the vector.
### If a vector `v' = y ∷ v` is sorted then for all elements `x` less than or equal to `y`, `x` is less than or equal to every element in the vector

```agda
is-least-element-vec-is-leq-head-sorted-vec :
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2 changes: 1 addition & 1 deletion src/trees/induction-w-types.lagda.md
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Expand Up @@ -78,7 +78,7 @@ module _

### Strong induction for W-types

#### We define an operation □-𝕎 that acts on families over 𝕎 A B
#### We define an operation `□-𝕎` that acts on families over `𝕎 A B`

```agda
module _
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Expand Up @@ -118,7 +118,7 @@ abstract
number-of-elements-count-Σ (pair k e) f = number-of-elements-count-Σ' k e f
```

### If A and Σ A B can be counted, then each B x can be counted
### If `A` and `Σ A B` can be counted, then each `B x` can be counted

```agda
count-fiber-count-Σ :
Expand All @@ -137,7 +137,7 @@ count-fiber-count-Σ-count-base e f x =
count-fiber-count-Σ (has-decidable-equality-count e) f x
```

### If Σ A B and each B x can be counted, and if B has a section, then A can be counted
### If `Σ A B` and each `B x` can be counted, and if `B` has a section, then `A` can be counted

```agda
count-fib-map-section :
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4 changes: 2 additions & 2 deletions src/univalent-combinatorics/fibers-of-maps.lagda.md
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Expand Up @@ -42,7 +42,7 @@ The fibers of maps between finite types are finite.

## Properties

### If A and B can be counted, then the fibers of a map f : A B can be counted
### If `A` and `B` can be counted, then the fibers of a map `f : A B` can be counted

```agda
count-fib :
Expand Down Expand Up @@ -134,7 +134,7 @@ is-decidable-fib-Fin {k} {l} f y =
is-decidable-fib-count f (count-Fin k) (count-Fin l) y
```

### If `f : A B` and `B` is finite, then `A` is finite if and only if the fibers of f are finite
### If `f : A B` and `B` is finite, then `A` is finite if and only if the fibers of `f` are finite

```agda
equiv-is-finite-domain-is-finite-fib :
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