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pi8027 committed Sep 28, 2023
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20 changes: 12 additions & 8 deletions README.md
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This library provides `ring`, `field`, `lra`, `nra`, and `psatz` tactics for
algebraic structures of the Mathematical Components library. The `ring` and
`field` tactics respectively work with any `comRingType` and `fieldType`. The
other (Micromega) tactics work with any `realDomainType` or `realFieldType`.
Their instance resolution is done through canonical structure inference.
Therefore, they work with abstract rings and do not require `Add Ring` and
`Add Field` commands. Another key feature of this library is that they
automatically push down ring morphisms and additive functions to leaves of
ring/field expressions before applying the proof procedures.
algebraic structures of the Mathematical Components library. The `ring` tactic
works with any `comRingType` (commutative ring) or `comSemiRingType`
(commutative semiring). The `field` tactic works with any `fieldType` (field).
The other (Micromega) tactics work with any `realDomainType` (totally ordered
integral domain) or `realFieldType` (totally ordered field). Algebra Tactics
do not provide a way to declare instances, like the `Add Ring` and `Add Field`
commands, but use canonical structure inference instead. Therefore, each of
these tactics works with any canonical (or abstract) instance of the
respective structure declared through Hierarchy Builder. Another key feature
of Algebra Tactics is that they automatically push down ring morphisms and
additive functions to leaves of ring/field expressions before applying the
proof procedures.

## Meta

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20 changes: 12 additions & 8 deletions coq-mathcomp-algebra-tactics.opam
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synopsis: "Ring, field, lra, nra, and psatz tactics for Mathematical Components"
description: """
This library provides `ring`, `field`, `lra`, `nra`, and `psatz` tactics for
algebraic structures of the Mathematical Components library. The `ring` and
`field` tactics respectively work with any `comRingType` and `fieldType`. The
other (Micromega) tactics work with any `realDomainType` or `realFieldType`.
Their instance resolution is done through canonical structure inference.
Therefore, they work with abstract rings and do not require `Add Ring` and
`Add Field` commands. Another key feature of this library is that they
automatically push down ring morphisms and additive functions to leaves of
ring/field expressions before applying the proof procedures."""
algebraic structures of the Mathematical Components library. The `ring` tactic
works with any `comRingType` (commutative ring) or `comSemiRingType`
(commutative semiring). The `field` tactic works with any `fieldType` (field).
The other (Micromega) tactics work with any `realDomainType` (totally ordered
integral domain) or `realFieldType` (totally ordered field). Algebra Tactics
do not provide a way to declare instances, like the `Add Ring` and `Add Field`
commands, but use canonical structure inference instead. Therefore, each of
these tactics works with any canonical (or abstract) instance of the
respective structure declared through Hierarchy Builder. Another key feature
of Algebra Tactics is that they automatically push down ring morphisms and
additive functions to leaves of ring/field expressions before applying the
proof procedures."""

build: [make "-j%{jobs}%"]
install: [make "install"]
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20 changes: 12 additions & 8 deletions meta.yml
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description: |-
This library provides `ring`, `field`, `lra`, `nra`, and `psatz` tactics for
algebraic structures of the Mathematical Components library. The `ring` and
`field` tactics respectively work with any `comRingType` and `fieldType`. The
other (Micromega) tactics work with any `realDomainType` or `realFieldType`.
Their instance resolution is done through canonical structure inference.
Therefore, they work with abstract rings and do not require `Add Ring` and
`Add Field` commands. Another key feature of this library is that they
automatically push down ring morphisms and additive functions to leaves of
ring/field expressions before applying the proof procedures.
algebraic structures of the Mathematical Components library. The `ring` tactic
works with any `comRingType` (commutative ring) or `comSemiRingType`
(commutative semiring). The `field` tactic works with any `fieldType` (field).
The other (Micromega) tactics work with any `realDomainType` (totally ordered
integral domain) or `realFieldType` (totally ordered field). Algebra Tactics
do not provide a way to declare instances, like the `Add Ring` and `Add Field`
commands, but use canonical structure inference instead. Therefore, each of
these tactics works with any canonical (or abstract) instance of the
respective structure declared through Hierarchy Builder. Another key feature
of Algebra Tactics is that they automatically push down ring morphisms and
additive functions to leaves of ring/field expressions before applying the
proof procedures.
publications:
- pub_url: https://drops.dagstuhl.de/opus/volltexte/2022/16738/
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