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Comments (8)

cipher1024 avatar cipher1024 commented on September 23, 2024 1

I had a few minutes so I implemented the following:

def my_foo {α} (x : semigroup α) (y : group α) : true := trivial

example {α : Type} : true :=
begin
  refine_struct (@my_foo α { .. } { .. } ),
    -- 9 goals
    -- case semigroup, mul
    -- α : Type
    -- ⊢ α → α → α

    -- case semigroup, mul_assoc
    -- α : Type
    -- ⊢ ∀ (a b c : α), a * b * c = a * (b * c)

    -- case group, mul
    -- α : Type
    -- ⊢ α → α → α

    -- case group, mul_assoc
    -- α : Type
    -- ⊢ ∀ (a b c : α), a * b * c = a * (b * c)

    -- case group, one
    -- α : Type
    -- ⊢ α

    -- case group, one_mul
    -- α : Type
    -- ⊢ ∀ (a : α), 1 * a = a

    -- case group, mul_one
    -- α : Type
    -- ⊢ ∀ (a : α), a * 1 = a

    -- case group, inv
    -- α : Type
    -- ⊢ α → α

    -- case group, mul_left_inv
    -- α : Type
    -- ⊢ ∀ (a : α), a⁻¹ * a = 1

end

That should cover it :)

from mathlib.

spl avatar spl commented on September 23, 2024

@cipher1024 says: “Yeah, refine_struct is not particularly tolerant. It only accepts a literal record. It infers semigroup from the goal.”

from mathlib.

cipher1024 avatar cipher1024 commented on September 23, 2024

The goal is for refine_struct to eventually implement a superset of the features of refine.

from mathlib.

cipher1024 avatar cipher1024 commented on September 23, 2024

Would refine_struct { .. } work for you?

from mathlib.

cipher1024 avatar cipher1024 commented on September 23, 2024

See: #162

from mathlib.

cipher1024 avatar cipher1024 commented on September 23, 2024

Should we rename the tactic to refine' since it overlaps so much with the purpose of refine?

from mathlib.

spl avatar spl commented on September 23, 2024

Since #162 has been merged, can we close this issue?

from mathlib.

cipher1024 avatar cipher1024 commented on September 23, 2024

I would say so. Let's see if that satisfies @semorrison.

from mathlib.

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